{"title":"Ruelle's inequality and Pesin's formula for Anosov geodesic flows in non-compact manifolds","authors":"Alexander Cantoral, Sergio Romaña","doi":"arxiv-2409.03207","DOIUrl":null,"url":null,"abstract":"In this paper, we prove Ruelle's inequality for the geodesic flow in\nnon-compact manifolds with Anosov geodesic flow and some assumptions on the\ncurvature. In the same way, we obtain Pesin's formula for Anosov geodesic flow\nin non-compact manifolds with finite volume.","PeriodicalId":501035,"journal":{"name":"arXiv - MATH - Dynamical Systems","volume":"26 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Dynamical Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.03207","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we prove Ruelle's inequality for the geodesic flow in
non-compact manifolds with Anosov geodesic flow and some assumptions on the
curvature. In the same way, we obtain Pesin's formula for Anosov geodesic flow
in non-compact manifolds with finite volume.
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