{"title":"非紧凑流形中阿诺索夫大地流的鲁埃尔不等式和佩辛公式","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":"{\"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}","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}
Ruelle's inequality and Pesin's formula for Anosov geodesic flows in non-compact manifolds
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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