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Journal of the Australian Mathematical Society最新文献

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ON THE GEOMETRY OF SPACELIKE MEAN CURVATURE FLOW SOLITONS IMMERSED IN A GRW SPACETIME 沉浸在GRW时空中的类空平均曲率流孤子的几何特性
4区 数学
Journal of the Australian Mathematical Society Pub Date : 2023-09-15 DOI: 10.1017/s1446788723000095
HENRIQUE F. DE LIMA, WALLACE F. GOMES, MÁRCIO S. SANTOS, MARCO ANTONIO L. VELÁSQUEZ
{"title":"ON THE GEOMETRY OF SPACELIKE MEAN CURVATURE FLOW SOLITONS IMMERSED IN A GRW SPACETIME","authors":"HENRIQUE F. DE LIMA, WALLACE F. GOMES, MÁRCIO S. SANTOS, MARCO ANTONIO L. VELÁSQUEZ","doi":"10.1017/s1446788723000095","DOIUrl":"https://doi.org/10.1017/s1446788723000095","url":null,"abstract":"Abstract We investigate geometric aspects of complete spacelike mean curvature flow solitons of codimension one in a generalized Robertson–Walker (GRW) spacetime $-Itimes _{f}M^n$ , with base $Isubset mathbb R$ , Riemannian fiber $M^n$ and warping function $fin C^infty (I)$ . For this, we apply suitable maximum principles to guarantee that such a mean curvature flow soliton is a slice of the ambient space and to obtain nonexistence results concerning these solitons. In particular, we deal with entire graphs constructed over the Riemannian fiber $M^n$ , which are spacelike mean curvature flow solitons, and we also explore the geometry of a conformal vector field to establish topological and further rigidity results for compact (without boundary) mean curvature flow solitons in a GRW spacetime. Moreover, we study the stability of spacelike mean curvature flow solitons with respect to an appropriate stability operator. Standard examples of spacelike mean curvature flow solitons in GRW spacetimes are exhibited, and applications related to these examples are given.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135436865","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
JAZ volume 115 issue 2 Cover and Front matter jazz第115卷第2期封面和封面问题
4区 数学
Journal of the Australian Mathematical Society Pub Date : 2023-09-11 DOI: 10.1017/s1446788722000325
{"title":"JAZ volume 115 issue 2 Cover and Front matter","authors":"","doi":"10.1017/s1446788722000325","DOIUrl":"https://doi.org/10.1017/s1446788722000325","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135980382","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
JAZ volume 115 issue 2 Cover and Back matter jazz第115卷第2期封面和封底
4区 数学
Journal of the Australian Mathematical Society Pub Date : 2023-09-11 DOI: 10.1017/s1446788722000337
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引用次数: 0
HALL CLASSES OF GROUPS WITH A LOCALLY FINITE OBSTRUCTION 具有局部有限阻塞的群的霍尔类
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2023-07-24 DOI: 10.1017/s1446788723000071
F. de Giovanni, M. Trombetti, B. Wehrfritz
{"title":"HALL CLASSES OF GROUPS WITH A LOCALLY FINITE OBSTRUCTION","authors":"F. de Giovanni, M. Trombetti, B. Wehrfritz","doi":"10.1017/s1446788723000071","DOIUrl":"https://doi.org/10.1017/s1446788723000071","url":null,"abstract":"\u0000 A well-known theorem of Philip Hall states that if a group G has a nilpotent normal subgroup N such that \u0000 \u0000 \u0000 \u0000$G/N'$\u0000\u0000 \u0000 is nilpotent, then G itself is nilpotent. We say that a group class 𝔛 is a Hall class if it contains every group G admitting a nilpotent normal subgroup N such that \u0000 \u0000 \u0000 \u0000$G/N'$\u0000\u0000 \u0000 belongs to 𝔛. Hall classes have been considered by several authors, such as Plotkin [‘Some properties of automorphisms of nilpotent groups’, Soviet Math. Dokl.2 (1961), 471–474] and Robinson [‘A property of the lower central series of a group’, Math. Z.107 (1968), 225–231]. A further detailed study of Hall classes is performed by us in another paper [‘Hall classes of groups’, to appear] and we also investigate the behaviour of the class of finite-by-𝔜 groups for a given Hall class 𝔜 [‘Hall classes in linear groups’, to appear]. The aim of this paper is to prove that for most natural choices of the Hall class 𝔜, also the classes \u0000 \u0000 \u0000 \u0000$(mathbf{L}mathfrak{F})mathfrak{Y}$\u0000\u0000 \u0000 and 𝔅𝔜 are Hall classes, where L𝔉 is the class of locally finite groups and 𝔅 is the class of locally finite groups of finite exponent.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"45 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88889726","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
WIENER TAUBERIAN THEOREMS FOR CERTAIN BANACH ALGEBRAS ON REAL RANK ONE SEMISIMPLE LIE GROUPS 实秩1半单李群上某些banach代数的维纳陶伯定理
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2023-07-18 DOI: 10.1017/s144678872300006x
Tapendu Rana
{"title":"WIENER TAUBERIAN THEOREMS FOR CERTAIN BANACH ALGEBRAS ON REAL RANK ONE SEMISIMPLE LIE GROUPS","authors":"Tapendu Rana","doi":"10.1017/s144678872300006x","DOIUrl":"https://doi.org/10.1017/s144678872300006x","url":null,"abstract":"\u0000 We prove Wiener Tauberian theorem type results for various spaces of radial functions, which are Banach algebras on a real-rank-one semisimple Lie group G. These are natural generalizations of the Wiener Tauberian theorem for the commutative Banach algebra of the integrable radial functions on G.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"7 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85815482","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
JAZ volume 115 issue 1 Cover and Back matter jazz第115卷第1期封面和封底
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2023-07-17 DOI: 10.1017/s1446788722000313
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引用次数: 0
JAZ volume 115 issue 1 Cover and Front matter jazz第115卷第1期封面和封面问题
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2023-07-17 DOI: 10.1017/s1446788722000301
{"title":"JAZ volume 115 issue 1 Cover and Front matter","authors":"","doi":"10.1017/s1446788722000301","DOIUrl":"https://doi.org/10.1017/s1446788722000301","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"5 1","pages":"f1 - f2"},"PeriodicalIF":0.7,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76831243","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
RANK JUMPS AND GROWTH OF SHAFAREVICH–TATE GROUPS FOR ELLIPTIC CURVES IN -EXTENSIONS 椭圆曲线在-扩展中的shafarevic - tate群的秩跳和增长
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2023-05-29 DOI: 10.1017/s1446788723000034
Lea Beneish, Debanjana Kundu, Anwesh Ray
{"title":"RANK JUMPS AND GROWTH OF SHAFAREVICH–TATE GROUPS FOR ELLIPTIC CURVES IN -EXTENSIONS","authors":"Lea Beneish, Debanjana Kundu, Anwesh Ray","doi":"10.1017/s1446788723000034","DOIUrl":"https://doi.org/10.1017/s1446788723000034","url":null,"abstract":"\u0000 Let p be a prime. In this paper, we use techniques from Iwasawa theory to study questions about rank jump of elliptic curves in cyclic extensions of degree p. We also study growth of the p-primary Selmer group and the Shafarevich–Tate group in cyclic degree-p extensions and improve upon previously known results in this direction.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"59 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73538715","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
JAZ volume 114 issue 3 Cover and Front matter jazz第114卷第3期封面和封面问题
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2023-05-12 DOI: 10.1017/s1446788722000271
{"title":"JAZ volume 114 issue 3 Cover and Front matter","authors":"","doi":"10.1017/s1446788722000271","DOIUrl":"https://doi.org/10.1017/s1446788722000271","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"27 1","pages":"f1 - f2"},"PeriodicalIF":0.7,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81187626","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
JAZ volume 114 issue 3 Cover and Back matter jazz第114卷第3期封面和封底
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2023-05-12 DOI: 10.1017/s1446788722000283
{"title":"JAZ volume 114 issue 3 Cover and Back matter","authors":"","doi":"10.1017/s1446788722000283","DOIUrl":"https://doi.org/10.1017/s1446788722000283","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"51 1","pages":"b1 - b2"},"PeriodicalIF":0.7,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83672973","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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