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Characterization of totally geodesic foliations with integrable and parallelizable normal bundle 具有可积并行法线束的全测地线叶的性质
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-05-10 DOI: 10.1017/S0017089522000179
E. D. da Silva, David C. Souza, F. Reis
{"title":"Characterization of totally geodesic foliations with integrable and parallelizable normal bundle","authors":"E. D. da Silva, David C. Souza, F. Reis","doi":"10.1017/S0017089522000179","DOIUrl":"https://doi.org/10.1017/S0017089522000179","url":null,"abstract":"Abstract In this work, we study foliations of arbitrary codimension $mathfrak{F}$ with integrable normal bundles on complete Riemannian manifolds. We obtain a necessary and sufficient condition for $mathfrak{F}$ to be totally geodesic. For this, we introduce a special number $mathfrak{G}_{mathfrak{F}}^{alpha}$ that measures when the foliation ceases to be totally geodesic. Furthermore, applying some maximum principle we deduce geometric properties for $mathfrak{F}$ . We conclude with a geometrical version of Novikov’s theorem (Trans. Moscow Math. Soc. (1965), 268–304), for Riemannian compact manifolds of arbitrary dimension.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48203306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A symmetry of silting quivers 淤积颤动的对称性
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-05-01 DOI: 10.1017/S0017089523000204
T. Aihara, Qi Wang
{"title":"A symmetry of silting quivers","authors":"T. Aihara, Qi Wang","doi":"10.1017/S0017089523000204","DOIUrl":"https://doi.org/10.1017/S0017089523000204","url":null,"abstract":"Abstract We investigate symmetry of the silting quiver of a given algebra which is induced by an anti-automorphism of the algebra. In particular, one shows that if there is a primitive idempotent fixed by the anti-automorphism, then the 2-silting quiver ( \u0000$=$\u0000 the support \u0000$tau$\u0000 -tilting quiver) has a bisection. Consequently, in that case, we obtain that the cardinality of the 2-silting quiver is an even number (if it is finite).","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42107942","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A note on the rational homological dimension of lattices in positive characteristic 关于正特征格的有理同调维数的一个注记
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-04-27 DOI: 10.1017/S0017089522000180
Sam Hughes
{"title":"A note on the rational homological dimension of lattices in positive characteristic","authors":"Sam Hughes","doi":"10.1017/S0017089522000180","DOIUrl":"https://doi.org/10.1017/S0017089522000180","url":null,"abstract":"Abstract We show via \u0000$ell^2$\u0000 -homology that the rational homological dimension of a lattice in a product of simple simply connected Chevalley groups over global function fields is equal to the rational cohomological dimension and to the dimension of the associated Bruhat–Tits building.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48568792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the Jones polynomial modulo primes 关于Jones多项式模素数
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-04-26 DOI: 10.1017/S0017089523000253
Valeriano Aiello, S. Baader, Livio Ferretti
{"title":"On the Jones polynomial modulo primes","authors":"Valeriano Aiello, S. Baader, Livio Ferretti","doi":"10.1017/S0017089523000253","DOIUrl":"https://doi.org/10.1017/S0017089523000253","url":null,"abstract":"Abstract We derive an upper bound on the density of Jones polynomials of knots modulo a prime number \u0000$p$\u0000 , within a sufficiently large degree range: \u0000$4/p^7$\u0000 . As an application, we classify knot Jones polynomials modulo two of span up to eight.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44999431","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of solution for a class of activator–inhibitor systems 一类活化剂-抑制剂体系解的存在性
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-04-12 DOI: 10.1017/S0017089522000131
G. Figueiredo, M. Montenegro
{"title":"Existence of solution for a class of activator–inhibitor systems","authors":"G. Figueiredo, M. Montenegro","doi":"10.1017/S0017089522000131","DOIUrl":"https://doi.org/10.1017/S0017089522000131","url":null,"abstract":"Abstract We prove the existence of a solution for a class of activator–inhibitor system of type \u0000$- Delta u +u = f(u) -v$\u0000 , \u0000$-Delta v+ v=u$\u0000 in \u0000$mathbb{R}^{N}$\u0000 . The function f is a general nonlinearity which can grow polynomially in dimension \u0000$Ngeq 3$\u0000 or exponentiallly if \u0000$N=2$\u0000 . We are able to treat f when it has critical growth corresponding to the Sobolev space we work with. We transform the system into an equation with a nonlocal term. We find a critical point of the corresponding energy functional defined in the space of functions with norm endowed by a scalar product that takes into account such nonlocal term. For that matter, and due to the lack of compactness, we deal with weak convergent minimizing sequences and sequences of Lagrange multipliers of an action minima problem.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44823830","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
GMJ volume 64 issue 2 Cover and Back matter GMJ第64卷第2期封面和封底
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-04-06 DOI: 10.1017/s0017089522000088
{"title":"GMJ volume 64 issue 2 Cover and Back matter","authors":"","doi":"10.1017/s0017089522000088","DOIUrl":"https://doi.org/10.1017/s0017089522000088","url":null,"abstract":"","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46989727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
GMJ volume 64 issue 2 Cover and Front matter GMJ第64卷第2期封面和封面
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-04-06 DOI: 10.1017/s0017089522000076
{"title":"GMJ volume 64 issue 2 Cover and Front matter","authors":"","doi":"10.1017/s0017089522000076","DOIUrl":"https://doi.org/10.1017/s0017089522000076","url":null,"abstract":"","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48484689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Yet another Freiheitssatz: Mating finite groups with locally indicable ones 另一个Freiheitssatz:将有限群与局部可指示群配对
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-04-03 DOI: 10.1017/S0017089522000349
A. Klyachko, Mikhail A. Mikheenko
{"title":"Yet another Freiheitssatz: Mating finite groups with locally indicable ones","authors":"A. Klyachko, Mikhail A. Mikheenko","doi":"10.1017/S0017089522000349","DOIUrl":"https://doi.org/10.1017/S0017089522000349","url":null,"abstract":"Abstract The main result includes as special cases on the one hand, the Gerstenhaber–Rothaus theorem (1962) and its generalisation due to Nitsche and Thom (2022) and, on the other hand, the Brodskii–Howie–Short theorem (1980–1984) generalising Magnus’s Freiheitssatz (1930).","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41688552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
A note on holomorphic sectional curvature of a hermitian manifold 关于hermitian流形全纯截面曲率的一个注记
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-03-04 DOI: 10.1017/S0017089522000064
Hongjun Li, Chunhui Qiu
{"title":"A note on holomorphic sectional curvature of a hermitian manifold","authors":"Hongjun Li, Chunhui Qiu","doi":"10.1017/S0017089522000064","DOIUrl":"https://doi.org/10.1017/S0017089522000064","url":null,"abstract":"Abstract As is well known, the holomorphic sectional curvature is just half of the sectional curvature in a holomorphic plane section on a Kähler manifold (Zheng, Complex differential geometry (2000)). In this article, we prove that if the holomorphic sectional curvature is half of the sectional curvature in a holomorphic plane section on a Hermitian manifold then the Hermitian metric is Kähler.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43636462","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
On the Hilbert scheme of the moduli space of torsion-free sheaves on surfaces 曲面上无扭轮轴模空间的Hilbert格式
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-02-22 DOI: 10.1017/S0017089523000010
O. Mata-Gutiérrez, L. Roa-Leguizamón, H. Torres-López
{"title":"On the Hilbert scheme of the moduli space of torsion-free sheaves on surfaces","authors":"O. Mata-Gutiérrez, L. Roa-Leguizamón, H. Torres-López","doi":"10.1017/S0017089523000010","DOIUrl":"https://doi.org/10.1017/S0017089523000010","url":null,"abstract":"Abstract The aim of this paper is to determine a bound of the dimension of an irreducible component of the Hilbert scheme of the moduli space of torsion-free sheaves on surfaces. Let X be a nonsingular irreducible complex surface, and let E be a vector bundle of rank n on X. We use the m-elementary transformation of E at a point \u0000$x in X$\u0000 to show that there exists an embedding from the Grassmannian variety \u0000$mathbb{G}(E_x,m)$\u0000 into the moduli space of torsion-free sheaves \u0000$mathfrak{M}_{X,H}(n;,c_1,c_2+m)$\u0000 which induces an injective morphism from \u0000$X times M_{X,H}(n;,c_1,c_2)$\u0000 to \u0000$Hilb_{, mathfrak{M}_{X,H}(n;,c_1,c_2+m)}$\u0000 .","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44945142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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