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The natural transformations between r-th order prolongation of tangent and cotangent bundles over Riemannian manifolds 黎曼流形上正切束和余切束的r阶扩展之间的自然变换
Annales Umcs, Mathematica Pub Date : 2015-11-30 DOI: 10.17951/A.2015.69.1.91
Mariusz Płaszczyk
{"title":"The natural transformations between r-th order prolongation of tangent and cotangent bundles over Riemannian manifolds","authors":"Mariusz Płaszczyk","doi":"10.17951/A.2015.69.1.91","DOIUrl":"https://doi.org/10.17951/A.2015.69.1.91","url":null,"abstract":"If (M, g) is a Riemannian manifold then there is the well-known base preserving vector bundle isomorphism TM → T*M given by v → g(v, –) between the tangent TM and the cotangent T*M bundles of M. In the present note first we generalize this isomorphism to the one J r TM → J r T*M between the r-th order prolongation J r TM of tangent TM and the r-th order prolongation J r T*M of cotangent T*M bundles of M. Further we describe all base preserving vector bundle maps D M (g) : J r TM → J r T*M depending on a Riemannian metric g in terms of natural (in g) tensor fields on M.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"18 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125775160","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
Components with the expected codimension in the moduli scheme of stable spin curves 稳定自旋曲线模格式中具有期望余维的分量
Annales Umcs, Mathematica Pub Date : 2015-11-30 DOI: 10.17951/A.2015.69.1.1
E. Ballico
{"title":"Components with the expected codimension in the moduli scheme of stable spin curves","authors":"E. Ballico","doi":"10.17951/A.2015.69.1.1","DOIUrl":"https://doi.org/10.17951/A.2015.69.1.1","url":null,"abstract":"Here we study the Brill–Noether theory of “extremal” Cornalba’s theta-characteristics on stable curves C of genus g, where “extremal” means that they are line bundles on a quasi-stable model of C with #(Sing(C)) exceptional components.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132921362","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
Pattern avoidance in partial words over a ternary alphabet 三元字母表上部分单词的模式避免
Annales Umcs, Mathematica Pub Date : 2015-11-30 DOI: 10.1515/UMCSMATH-2015-0013
Adam Gagol
{"title":"Pattern avoidance in partial words over a ternary alphabet","authors":"Adam Gagol","doi":"10.1515/UMCSMATH-2015-0013","DOIUrl":"https://doi.org/10.1515/UMCSMATH-2015-0013","url":null,"abstract":"Blanched-Sadri and Woodhouse in 2013 have proven the conjecture of Cassaigne, stating that any pattern with (m) distinct variables and of length at least (2^m) is avoidable over a ternary alphabet and if the length is at least (3cdot 2^{m-1}) it is avoidable over a binary alphabet. They conjectured that similar theorems are true for partial words – sequences, in which some characters are left “blank”. Using method of entropy compression, we obtain the partial words version of the theorem for ternary words.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129441735","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: 1
Statuses and double branch weights of quadrangular outerplanar graphs 四边形外平面图的状态和双分支权值
Annales Umcs, Mathematica Pub Date : 2015-11-30 DOI: 10.17951/A.2015.69.1.5
H. Bielak, Kamil Powroznik
{"title":"Statuses and double branch weights of quadrangular outerplanar graphs","authors":"H. Bielak, Kamil Powroznik","doi":"10.17951/A.2015.69.1.5","DOIUrl":"https://doi.org/10.17951/A.2015.69.1.5","url":null,"abstract":"In this paper we study some distance properties of outerplanar graphs with the Hamiltonian cycle whose all bounded faces are cycles isomorphic to the cycle C 4 . We call this family of graphs quadrangular outerplanar graphs. We give the lower and upper bound on the double branch weight and the status for this graphs. At the end of this paper we show some relations between median and double centroid in quadrangular outerplanar graphs.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"159 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134431297","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
A-manifolds on a principal torus bundle over an almost Hodge A-manifold base 几乎霍奇a流形基上主环面束上的a流形
Annales Umcs, Mathematica Pub Date : 2015-11-30 DOI: 10.17951/A.2015.69.1.109
G. Zborowski
{"title":"A-manifolds on a principal torus bundle over an almost Hodge A-manifold base","authors":"G. Zborowski","doi":"10.17951/A.2015.69.1.109","DOIUrl":"https://doi.org/10.17951/A.2015.69.1.109","url":null,"abstract":"An A-manifold is a manifold whose Ricci tensor is cyclic-parallel, equivalently it satisfies ∇ X Ric(X, X) = 0. This condition generalizes the Einstein condition. We construct new examples of A-manifolds on r-torus bundles over a base which is a product of almost Hodge A-manifolds.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122959850","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: 1
Proximinality and co-proximinality in metric linear spaces 度量线性空间中的近似性和共近似性
Annales Umcs, Mathematica Pub Date : 2015-11-30 DOI: 10.17951/A.2015.69.1.83
T. Narang, Sahil Gupta
{"title":"Proximinality and co-proximinality in metric linear spaces","authors":"T. Narang, Sahil Gupta","doi":"10.17951/A.2015.69.1.83","DOIUrl":"https://doi.org/10.17951/A.2015.69.1.83","url":null,"abstract":"As a counterpart to best approximation, the concept of best coapproximation was introduced in normed linear spaces by C. Franchetti and M. Furi in 1972. Subsequently, this study was taken up by many researchers. In this paper, we discuss some results on the existence and uniqueness of best approximation and best coapproximation when the underlying spaces are metric linear spaces.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125442733","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: 4
A multidimensional singular stochastic control problem on a finite time horizon 有限时间范围上的多维奇异随机控制问题
Annales Umcs, Mathematica Pub Date : 2015-11-30 DOI: 10.17951/A.2015.69.1.23
A. Sectio, Marcin Boryc, Łukasz Kruk
{"title":"A multidimensional singular stochastic control problem on a finite time horizon","authors":"A. Sectio, Marcin Boryc, Łukasz Kruk","doi":"10.17951/A.2015.69.1.23","DOIUrl":"https://doi.org/10.17951/A.2015.69.1.23","url":null,"abstract":"A singular stochastic control problem in n dimensions with timedependent coefficients on a finite time horizon is considered. We show that the value function for this problem is a generalized solution of the corresponding HJB equation with locally bounded second derivatives with respect to the space variables and the first derivative with respect to time. Moreover, we prove that an optimal control exists and is unique.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"198 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129363204","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
On pseudo-BCI-algebras 在pseudo-BCI-algebras
Annales Umcs, Mathematica Pub Date : 2015-11-30 DOI: 10.1515/UMCSMATH-2015-0012
G. Dymek
{"title":"On pseudo-BCI-algebras","authors":"G. Dymek","doi":"10.1515/UMCSMATH-2015-0012","DOIUrl":"https://doi.org/10.1515/UMCSMATH-2015-0012","url":null,"abstract":"The notion of normal pseudo-BCI-algebras is studied and some characterizations of it are given. Extensions of pseudo-BCI-algebras are also considered.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126873650","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: 41
Rotation indices related to Poncelet’s closure theorem 与庞塞莱闭包定理有关的旋转指标
Annales Umcs, Mathematica Pub Date : 2014-12-01 DOI: 10.1515/UMCSMATH-2015-0003
W. Cieslak, H. Martini, W. Mozgawa
{"title":"Rotation indices related to Poncelet’s closure theorem","authors":"W. Cieslak, H. Martini, W. Mozgawa","doi":"10.1515/UMCSMATH-2015-0003","DOIUrl":"https://doi.org/10.1515/UMCSMATH-2015-0003","url":null,"abstract":"Let C R C r denote an annulus formed by two non-concentric circles C R , C r in the Euclidean plane. We prove that if Poncelet’s closure theorem holds for k-gons circuminscribed to C R C r , then there exist circles inside this annulus which satisfy Poncelet’s closure theorem together with C r , with n- gons for any n > k.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121899735","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: 3
On certain subclasses of analytic functions associated with the Carlson–Shaffer operator 论与Carlson-Shaffer算子相关的解析函数的某些子类
Annales Umcs, Mathematica Pub Date : 2014-12-01 DOI: 10.1515/UMCSMATH-2015-0007
J. Patel, A. Sahoo
{"title":"On certain subclasses of analytic functions associated with the Carlson–Shaffer operator","authors":"J. Patel, A. Sahoo","doi":"10.1515/UMCSMATH-2015-0007","DOIUrl":"https://doi.org/10.1515/UMCSMATH-2015-0007","url":null,"abstract":"The object of the present paper is to solve Fekete-Szego problem and determine the sharp upper bound to the second Hankel determinant for a certain class (R^{lambda}(a,c,A,B)) of analytic functions in the unit disk. We also investigate several majorization properties for functions belonging to a subclass (widetilde {R}^{lambda}(a,c, A,B)) of (R^{lambda}(a,c,A,B)) and related function classes. Relevant connections of the main results obtained here with those given by earlier workers on the subject are pointed out.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116502064","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: 1
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