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Balanced measures on compact median algebras 紧中位代数上的平衡测度
4区 数学
Geometriae Dedicata Pub Date : 2023-02-22 DOI: Keywords:South Kalimantan APAN, member, information system, website, organization. 10.1007/s10711-023-00778-y
Uri Bader, Aviv Taller
{"title":"Balanced measures on compact median algebras","authors":"Uri Bader, Aviv Taller","doi":"Keywords:South Kalimantan APAN, member, information system, website, organization.\r\n10.1007/s10711-023-00778-y","DOIUrl":"https://doi.org/Keywords:South Kalimantan APAN, member, information system, website, organization.\r\n10.1007/s10711-023-00778-y","url":null,"abstract":"We initiate a systematic investigation of group actions on compact median algebras via the corresponding dynamics on their spaces of measures. We show that a probability measure which is invariant under a natural push forward operation must be a uniform measure on a cube and use this to show that every amenable group action on a locally convex compact median algebra fixes a sub-cube.","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":"157 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136196662","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
Hyperbolic twisted torus links 双曲扭曲环面连杆
IF 0.5 4区 数学
Geometriae Dedicata Pub Date : 2023-02-19 DOI: 10.1007/s10711-023-00777-z
Thiago de Paiva
{"title":"Hyperbolic twisted torus links","authors":"Thiago de Paiva","doi":"10.1007/s10711-023-00777-z","DOIUrl":"https://doi.org/10.1007/s10711-023-00777-z","url":null,"abstract":"","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44556169","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
Complex hyperbolic orbifolds and hybrid lattices 复双曲轨道和杂化晶格
IF 0.5 4区 数学
Geometriae Dedicata Pub Date : 2023-01-18 DOI: 10.1007/s10711-022-00762-y
E. Falbel, I. Pasquinelli
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引用次数: 0
Eilenberg–MacLane spaces in algebraic surface theory 代数曲面理论中的Eilenberg-MacLane空间
IF 0.5 4区 数学
Geometriae Dedicata Pub Date : 2023-01-18 DOI: 10.1007/s10711-022-00761-z
R. Gurjar, S. Gurjar, B. Hajra
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引用次数: 0
Correction: New invariants of Gromov–Hausdorff limits of Riemannian surfaces with curvature bounded below 修正：曲率有界的黎曼曲面Gromov–Hausdorff极限的新不变量
IF 0.5 4区 数学
Geometriae Dedicata Pub Date : 2023-01-18 DOI: 10.1007/s10711-022-00763-x
S. Alesker, M. Katz, R. Prosanov
{"title":"Correction: New invariants of Gromov–Hausdorff limits of Riemannian surfaces with curvature bounded below","authors":"S. Alesker, M. Katz, R. Prosanov","doi":"10.1007/s10711-022-00763-x","DOIUrl":"https://doi.org/10.1007/s10711-022-00763-x","url":null,"abstract":"","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":"217 1","pages":"1"},"PeriodicalIF":0.5,"publicationDate":"2023-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43960025","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
Remarks on the oscillation energy of Legendrian isotopies 关于勒让德同位素振荡能的评述
IF 0.5 4区 数学
Geometriae Dedicata Pub Date : 2023-01-15 DOI: 10.1007/s10711-023-00825-8
D. Cant
{"title":"Remarks on the oscillation energy of Legendrian isotopies","authors":"D. Cant","doi":"10.1007/s10711-023-00825-8","DOIUrl":"https://doi.org/10.1007/s10711-023-00825-8","url":null,"abstract":"","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42501025","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: 5
Relatively dominated representations from eigenvalue gaps and limit maps. 特征值间隙和极限映射的相对支配表示。
IF 0.5 4区 数学
Geometriae Dedicata Pub Date : 2023-01-01 DOI: 10.1007/s10711-023-00775-1
Feng Zhu
{"title":"Relatively dominated representations from eigenvalue gaps and limit maps.","authors":"Feng Zhu","doi":"10.1007/s10711-023-00775-1","DOIUrl":"https://doi.org/10.1007/s10711-023-00775-1","url":null,"abstract":"<p><p>Relatively dominated representations give a common generalization of geometrically finiteness in rank one on the one hand, and the Anosov condition which serves as a higher-rank analogue of convex cocompactness on the other. This note proves three results about these representations. Firstly, we remove the quadratic gaps assumption involved in the original definition. Secondly, we give a characterization using eigenvalue gaps, providing a relative analogue of a result of Kassel and Potrie for Anosov representations. Thirdly, we formulate characterizations in terms of singular value or eigenvalue gaps combined with limit maps, in the spirit of Guéritaud et al. for Anosov representations, and use them to show that inclusion representations of certain groups playing weak ping-pong are relatively dominated.</p>","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":"217 2","pages":"39"},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9911344/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9268056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Total torsion of three-dimensional lines of curvature. 三维曲率线的总扭转。
IF 0.5 4区 数学
Geometriae Dedicata Pub Date : 2023-01-01 Epub Date: 2023-08-23 DOI: 10.1007/s10711-023-00833-8
Matteo Raffaelli
{"title":"Total torsion of three-dimensional lines of curvature.","authors":"Matteo Raffaelli","doi":"10.1007/s10711-023-00833-8","DOIUrl":"10.1007/s10711-023-00833-8","url":null,"abstract":"<p><p>A curve <math><mi>γ</mi></math> in a Riemannian manifold <i>M</i> is <i>three-dimensional</i> if its torsion (signed second curvature function) is well-defined and all higher-order curvatures vanish identically. In particular, when <math><mi>γ</mi></math> lies on an oriented hypersurface <i>S</i> of <i>M</i>, we say that <math><mi>γ</mi></math> is <i>well positioned</i> if the curve's principal normal, its torsion vector, and the surface normal are everywhere coplanar. Suppose that <math><mi>γ</mi></math> is three-dimensional and closed. We show that if <math><mi>γ</mi></math> is a well-positioned line of curvature of <i>S</i>, then its total torsion is an integer multiple of <math><mrow><mn>2</mn><mi>π</mi></mrow></math>; and that, conversely, if the total torsion of <math><mi>γ</mi></math> is an integer multiple of <math><mrow><mn>2</mn><mi>π</mi></mrow></math>, then there exists an oriented hypersurface of <i>M</i> in which <math><mi>γ</mi></math> is a well-positioned line of curvature. Moreover, under the same assumptions, we prove that the total torsion of <math><mi>γ</mi></math> vanishes when <i>S</i> is convex. This extends the classical total torsion theorem for spherical curves.</p>","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":"217 6","pages":"96"},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10447290/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10075003","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Self-expanders to the mean curvature flow based on the generalized Lawson–Osserman cone 基于广义Lawson–Osserman锥的平均曲率流的自展开器
IF 0.5 4区 数学
Geometriae Dedicata Pub Date : 2022-11-10 DOI: 10.1007/s10711-023-00773-3
Chen-Kuan Lee
{"title":"Self-expanders to the mean curvature flow based on the generalized Lawson–Osserman cone","authors":"Chen-Kuan Lee","doi":"10.1007/s10711-023-00773-3","DOIUrl":"https://doi.org/10.1007/s10711-023-00773-3","url":null,"abstract":"","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45491330","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
The volume conjecture for polyhedra implies the Stoker conjecture 多面体的体积猜想暗含斯托克猜想
IF 0.5 4区 数学
Geometriae Dedicata Pub Date : 2022-09-27 DOI: 10.1007/s10711-023-00813-y
G. Belletti
{"title":"The volume conjecture for polyhedra implies the Stoker conjecture","authors":"G. Belletti","doi":"10.1007/s10711-023-00813-y","DOIUrl":"https://doi.org/10.1007/s10711-023-00813-y","url":null,"abstract":"","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42118107","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
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