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On natural symmetries on slit tangent bundles of Finsler manifolds 关于Finsler流形切缝束的自然对称性
Annali dell''Universita di Ferrara Pub Date : 2025-03-07 DOI: 10.1007/s11565-025-00583-3
Mohamed Tahar Kadaoui Abbassi, Abderrahim Mekrami
{"title":"On natural symmetries on slit tangent bundles of Finsler manifolds","authors":"Mohamed Tahar Kadaoui Abbassi,&nbsp;Abderrahim Mekrami","doi":"10.1007/s11565-025-00583-3","DOIUrl":"10.1007/s11565-025-00583-3","url":null,"abstract":"<div><p>In this paper, we introduce a broad class of metrics on the slit tangent bundle of Finsler manifolds, referred to as <i>F</i>-natural metrics. These metrics are analogous to the well-established <i>g</i>-natural metrics on tangent bundles of Riemannian manifolds and are defined by six real functions on the domain of positive real numbers. We present an in-depth analysis of conformal, homothetic, and Killing vector fields associated with specific lifts of vector fields and tensor sections on the slit tangent bundle, equipped with a general pseudo-Riemannian <i>F</i>-natural metric. Notably, we prove that the geodesic vector field cannot be conformal and that, with respect to certain families of <i>F</i>-natural metrics, the Liouville vector field can indeed be conformal, homothetic, or Killing on the slit tangent bundle.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143564511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalized skew derivations on Lie ideals in prime rings 素环上李理想的广义偏导
Annali dell''Universita di Ferrara Pub Date : 2025-03-01 DOI: 10.1007/s11565-025-00581-5
Giovanni Scudo, Ashutosh Pandey, Balchand Prajapati
{"title":"Generalized skew derivations on Lie ideals in prime rings","authors":"Giovanni Scudo,&nbsp;Ashutosh Pandey,&nbsp;Balchand Prajapati","doi":"10.1007/s11565-025-00581-5","DOIUrl":"10.1007/s11565-025-00581-5","url":null,"abstract":"<div><p>Let <i>R</i> be prime ring with characteristic different from 2, <i>C</i> denotes the extended centroid, <i>L</i> a Lie ideal of <i>R</i> and <span>(Q_r)</span> the right Martindale quotient of the ring <i>R</i>. Let <span>(Delta _1)</span> and <span>(Delta _2)</span> represents two generalized skew derivations of <i>R</i> associated with <span>((psi ,l_1))</span> and <span>((psi , l_2))</span>, respectively, such that <span>(psi .l_1=l_1.psi )</span> and <span>(psi . l_2= l_2.psi )</span>. If, for every <span>(r in L)</span>, <span>(Delta _1^2(r)r=Delta _2(r^2))</span>, then we characterize the maps <span>(Delta _1)</span> and <span>(Delta _2)</span>. As an application of this generalization, we proved that if <span>(Delta _1(tau ^2)=0)</span> for all <span>(tau in R)</span>, then <i>R</i> contains a non-zero central ideal.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143521622","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Addenda to “The parallel postulate” “平行假设”附录
Annali dell''Universita di Ferrara Pub Date : 2025-02-15 DOI: 10.1007/s11565-025-00582-4
Victor Pambuccian
{"title":"Addenda to “The parallel postulate”","authors":"Victor Pambuccian","doi":"10.1007/s11565-025-00582-4","DOIUrl":"10.1007/s11565-025-00582-4","url":null,"abstract":"<div><p>It is pointed out that: (1) the positive version of the parallel postulate appearing in Pambuccian (Ann Univ Ferrara 71: 17, 2025) can be found in a 1935 manuscript by Paul Bernays and in <i>Grundlagen der Mathematik</i>, vol. II by Hilbert and Bernays; and (2) that axiom <b>S</b> appearing in the same paper is almost identical to Axiom IV in F. P. Jenks’ 1940 incidence-based axiom system for hyperbolic geometry.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143423368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inequalities between mixed moduli of smoothness in the case of limiting parameter values 极限参数值情况下平稳性混合模量之间的不等式
Annali dell''Universita di Ferrara Pub Date : 2025-02-06 DOI: 10.1007/s11565-025-00579-z
B. V. Simonov, A.A. Jumabayeva
{"title":"Inequalities between mixed moduli of smoothness in the case of limiting parameter values","authors":"B. V. Simonov,&nbsp;A.A. Jumabayeva","doi":"10.1007/s11565-025-00579-z","DOIUrl":"10.1007/s11565-025-00579-z","url":null,"abstract":"<div><p>In this paper we obtain Ulyanov-type inequalities between mixed moduli of smoothness of positive orders in mixed metrics in the case of limit values of the parameters.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Structure of some additive maps in prime rings with involution 素环中带有内卷的一些加法映射的结构
Annali dell''Universita di Ferrara Pub Date : 2025-02-06 DOI: 10.1007/s11565-025-00580-6
Mohammad Aslam Siddeeque, Abbas Hussain Shikeh, Raof Ahmad Bhat
{"title":"Structure of some additive maps in prime rings with involution","authors":"Mohammad Aslam Siddeeque,&nbsp;Abbas Hussain Shikeh,&nbsp;Raof Ahmad Bhat","doi":"10.1007/s11565-025-00580-6","DOIUrl":"10.1007/s11565-025-00580-6","url":null,"abstract":"<div><p>Let <span>(textrm{R})</span> be a noncommutative prime ring equipped with an involution ‘<span>(*)</span>’, and let <span>(mathcal {Q}_{ml}(textrm{R}))</span> be the maximal left ring of quotients of <span>(textrm{R})</span>. The objective of this paper is to characterize additive maps <span>(mathcal {H}:textrm{R}rightarrow mathcal {Q}_{ml}(textrm{R}))</span> that satisfy any one of the following conditions. (<i>i</i>) <span>(mathcal {H}(srs)=mathcal {H}(s)s^*r^*+smathcal {H}(r)s^*+srmathcal {H}(s))</span> for all <span>(s, rin textrm{R})</span>. (<i>ii</i>) <span>(mathcal {H}(s^*s)=mathcal {H}(s^*)s+s^*mathcal {H}(s))</span> for all <span>(sin textrm{R})</span>.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Double diffusion in a Navier–Stokes–Voigt fluid with a Christov heat law 具有克里斯托夫热定律的Navier-Stokes-Voigt流体中的双重扩散
Annali dell''Universita di Ferrara Pub Date : 2024-12-16 DOI: 10.1007/s11565-024-00577-7
Brian Straughan
{"title":"Double diffusion in a Navier–Stokes–Voigt fluid with a Christov heat law","authors":"Brian Straughan","doi":"10.1007/s11565-024-00577-7","DOIUrl":"10.1007/s11565-024-00577-7","url":null,"abstract":"<div><p>We investigate double diffusion in the context of the Navier–Stokes–Voigt equations but the heat equation is one suggested by C. I. Christov. The Christov heat equation may be highly relevant when dealing with flows in small dimensions such as are encountered in the area of microfluidics. The theory employed here essentially uses a Kelvin–Voigt term in both the momentum equation and the temperature equation, where both may be thought of as regularizing terms. In addition to finding stationary convection it is found that oscillatory convection will also occur if the salt Rayleigh number is sufficiently high. It is also found that the Kelvin–Voigt coefficient in the temperature equation has a relatively greater stabilizing effect that the analogous term in the momentum equation. A global nonlinear energy stability analysis is also included.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142826265","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Iterative algorithms involving generalized inverse strongly monotone mapping 涉及广义逆强单调映射的迭代算法
Annali dell''Universita di Ferrara Pub Date : 2024-12-05 DOI: 10.1007/s11565-024-00574-w
Bashir Ali, Abdulnasir Bala Nuhu
{"title":"Iterative algorithms involving generalized inverse strongly monotone mapping","authors":"Bashir Ali,&nbsp;Abdulnasir Bala Nuhu","doi":"10.1007/s11565-024-00574-w","DOIUrl":"10.1007/s11565-024-00574-w","url":null,"abstract":"<div><p>In this paper, we introduce and study a new class of mapping called generalized inverse strongly monotone mapping in a real Hilbert space. We prove some properties of the map. We also introduce new iterative algorithm for approximation of a common point in the set of common fixed points of a countable family of strictly pseudocontractive mappings, the set of solutions of some mixed equilibrium problem and the set of solutions of Variational inequality problem involving the new mapping.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00574-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142778374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalized principal logarithms and Riemannian properties of a class of subgroups of (mathbf {U_n}) endowed with the Frobenius bi-invariant metric 一类具有Frobenius双不变度量的(mathbf {U_n})子群的广义主对数和黎曼性质
Annali dell''Universita di Ferrara Pub Date : 2024-12-05 DOI: 10.1007/s11565-024-00561-1
Donato Pertici, Alberto Dolcetti
{"title":"Generalized principal logarithms and Riemannian properties of a class of subgroups of (mathbf {U_n}) endowed with the Frobenius bi-invariant metric","authors":"Donato Pertici,&nbsp;Alberto Dolcetti","doi":"10.1007/s11565-024-00561-1","DOIUrl":"10.1007/s11565-024-00561-1","url":null,"abstract":"<div><p>We study the geometric-differential properties of a wide class of closed subgroups of <span>(U_n)</span> endowed with a natural bi-invariant metric. For each of these groups, we explicitly express the distance function, the diameter, and, above all, we parametrize the set of minimizing geodesic segments with arbitrary endpoints <span>(P_0)</span> and <span>(P_1)</span> by means of the set of generalized principal logarithms of <span>(P_0^*P_1)</span> in the Lie algebra of the group. We prove that this last set is a non-empty disjoint union of a finite number of compact submanifolds of <span>(mathfrak {u}_n)</span> diffeomorphic to suitable (and explicitly determined) homogeneous spaces.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142778373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Static perfect fluid spacetimes on f-Kenmotsu 3-manifolds f-Kenmotsu 3流形上的静态完美流体时空
Annali dell''Universita di Ferrara Pub Date : 2024-12-05 DOI: 10.1007/s11565-024-00576-8
Uday Chand De, Arpan Sardar
{"title":"Static perfect fluid spacetimes on f-Kenmotsu 3-manifolds","authors":"Uday Chand De,&nbsp;Arpan Sardar","doi":"10.1007/s11565-024-00576-8","DOIUrl":"10.1007/s11565-024-00576-8","url":null,"abstract":"<div><p>The present article deals with static perfect fluid spacetimes on <i>f</i>-Kenmotsu 3-manifolds. At first, we demonstrate if a 3-dimensional <i>f</i>-Kenmotsu manifold with constant scalar curvature as the spatial factor of a static perfect fluid spacetime, then either it is a space of constant sectional curvature or <span>(grad, psi )</span> is pointwise collinear with <span>(xi )</span> and the warping function of the static perfect fluid spacetime is given by <span>(psi = k_1 t + k_2)</span>, <span>(k_1 ne 0)</span>. As a result, we establish that if a cosymplectic manifold of dimension three with constant scalar curvature is the spatial factor of a static perfect fluid spacetime, then either it is flat or, the manifold becomes a space of constant sectional curvature. Next, we show that under certain restrictions if a 3-dimensional <i>f</i>-Kenmotsu manifold is the spatial factor of a static perfect fluid spacetime, then either the manifold is a space of constant sectional curvature or, the manifold is locally isometric to either the flat Euclidean space <span>(mathcal {R}^3)</span> or the Riemannian product <span>(mathcal {R}times M^2(c))</span>, where <span>(M^2(c))</span> represents a Kahler surface with constant curvature <span>(cne 0)</span>, provided <span>(xi psi =0)</span> and <span>(xi tilde{f} =0)</span>. Lastly, we have cited an example of an <i>f</i>-Kenmotsu manifold to validate our result.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142778369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Building a random network with a given expected giant component 用给定的预期的巨大组件构建一个随机网络
Annali dell''Universita di Ferrara Pub Date : 2024-12-05 DOI: 10.1007/s11565-024-00575-9
Lorenzo Federico, Ayoub Mounim
{"title":"Building a random network with a given expected giant component","authors":"Lorenzo Federico,&nbsp;Ayoub Mounim","doi":"10.1007/s11565-024-00575-9","DOIUrl":"10.1007/s11565-024-00575-9","url":null,"abstract":"<div><p>In this work we show that given any integer-valued random variable <i>D</i> with finite mean such that <span>(mathbb {E}[D]&gt;2)</span> and <span>(mathbb {P}(Dge 1)=1)</span>, it is possible to build a configuration model whose giant component has degree distribution that converges in probability to <i>D</i> and give a way to compute the starting degree distribution to achieve this property.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142778375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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