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Riemannian Manifolds With Geodesic Flow of Anosov Type

https://doi.org/10.2307/1971011

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Geodesic Flows on Negatively Curved Manifolds I

What points at this work

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inferred← citeshttps://doi.org/10.2139/ssrn.4786345openalex-extracted

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inferred← citeshttps://doi.org/10.1002/mana.201300259openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/978-1-4684-9375-7_7openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/978-3-030-77957-3_20openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/978-3-642-10940-9_3openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bf01066550openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bf01099169openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bf01187538openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bf01214477openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bf01221148openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bf01223133openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bf01241128openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bf01303279openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bf01321308openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bf01364627openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bf01389360openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bf02571508openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bf02571949openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bf02921711openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bfb0021739openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/pl00001011openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/s00574-012-0024-0openalex-snapshot

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Some Rigidity Theorems for Anosov Geodesic Flows in Manifolds of Finite Volume

inferred← citeshttps://doi.org/10.1016/b0-12-512666-2/00407-7openalex-snapshot

Hyperbolic Dynamical Systems

inferred← citeshttps://doi.org/10.1016/b978-0-12-550350-1.50017-5openalex-snapshot

Hyperbolic Closed Geodesics††AMS (MOS) 1970 SUBJECT CLASSIFICATION: 53C20, 58F15.‡‡This is an abstract of a lecture under the same title at the conference “Dynamical Systems” in Salvador, Bahia, Brazil, on July 22, 1971. The content of this paper falls under the program of the…

inferred← citeshttps://doi.org/10.1016/j.jde.2010.12.002openalex-snapshot

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inferred← citeshttps://doi.org/10.1016/s1874-575x(02)80005-4openalex-snapshot

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inferred← citeshttps://doi.org/10.1016/s1874-575x(02)80008-xopenalex-snapshot

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inferred← citeshttps://doi.org/10.1017/etds.2019.73openalex-snapshot

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inferred← citeshttps://doi.org/10.1017/etds.2021.75openalex-snapshot

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inferred← citeshttps://doi.org/10.1017/etds.2026.10285openalex-snapshot

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inferred← citeshttps://doi.org/10.1017/s0027763000017967openalex-snapshot

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inferred← citeshttps://doi.org/10.1017/s0143385700001796openalex-snapshot

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inferred← citeshttps://doi.org/10.1017/s0143385700002273openalex-snapshot

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inferred← citeshttps://doi.org/10.1017/s0143385700006714openalex-snapshot

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inferred← citeshttps://doi.org/10.1017/s0143385700007264openalex-snapshot

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inferred← citeshttps://doi.org/10.1017/s0143385700008968openalex-snapshot

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inferred← citeshttps://doi.org/10.1017/s0143385703000063openalex-snapshot

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inferred← citeshttps://doi.org/10.1017/s0143385703000415openalex-snapshot

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inferred← citeshttps://doi.org/10.1017/s0143385704000422openalex-snapshot

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inferred← citeshttps://doi.org/10.1017/s014338579913387xopenalex-snapshot

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inferred← citeshttps://doi.org/10.1070/rm1981v036n04abeh002636openalex-snapshot

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inferred← citeshttps://doi.org/10.1080/14689367.2024.2345351openalex-snapshot

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inferred← citeshttps://doi.org/10.1088/0951-7715/11/1/011openalex-snapshot

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inferred← citeshttps://doi.org/10.1088/0951-7715/16/4/318openalex-snapshot

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inferred← citeshttps://doi.org/10.1088/1361-6544/aaf81bopenalex-snapshot

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inferred← citeshttps://doi.org/10.1088/1361-6544/ac21a5openalex-snapshot

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inferred← citeshttps://doi.org/10.1090/jams/865openalex-snapshot

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inferred← citeshttps://doi.org/10.1090/noti2247openalex-snapshot

Eigenfunction Concentration via Geodesic Beams

inferred← citeshttps://doi.org/10.1090/proc/14096openalex-snapshot

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inferred← citeshttps://doi.org/10.1090/proc/16423openalex-snapshot

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inferred← citeshttps://doi.org/10.1090/s0002-9939-1977-0428358-5openalex-snapshot

A Geometric Criterion for Hyperbolicity of Flows

inferred← citeshttps://doi.org/10.1090/s0002-9947-1975-0383294-0openalex-snapshot

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inferred← citeshttps://doi.org/10.1112/topo.12130openalex-snapshot

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inferred← citeshttps://doi.org/10.1134/s1560354718060047openalex-snapshot

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inferred← citeshttps://doi.org/10.1137/23m1606897openalex-snapshot

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inferred← citeshttps://doi.org/10.1142/9789814324359_0114openalex-snapshot

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inferred← citeshttps://doi.org/10.1142/9789814324359_0118openalex-snapshot

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inferred← citeshttps://doi.org/10.1142/s0129167x21500403openalex-snapshot

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inferred← citeshttps://doi.org/10.1215/00127094-2019-0020openalex-snapshot

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inferred← citeshttps://doi.org/10.1215/00127094-2024-0022openalex-snapshot

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inferred← citeshttps://doi.org/10.1216/rmjm/1181069413openalex-snapshot

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inferred← citeshttps://doi.org/10.1365/s13291-012-0041-3openalex-snapshot

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inferred← citeshttps://doi.org/10.17771/pucrio.acad.61079openalex-snapshot

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inferred← citeshttps://doi.org/10.17771/pucrio.acad.71172openalex-snapshot

PATH CONNECTIVITY OF ANOSOV METRICS ON SURFACES

inferred← citeshttps://doi.org/10.17863/cam.45187openalex-snapshot

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inferred← citeshttps://doi.org/10.2140/apde.2021.14.301openalex-snapshot

Classical and microlocal analysis of the x-ray transform on Anosov manifolds

inferred← citeshttps://doi.org/10.2140/pjm.2009.242.377openalex-snapshot

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inferred← citeshttps://doi.org/10.21711/217504322007/em121openalex-snapshot

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inferred← citeshttps://doi.org/10.2206/kyushumfs.39.49openalex-snapshot

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inferred← citeshttps://doi.org/10.3934/dcds.2018048openalex-snapshot

Uniform hyperbolicity in nonflat billiards

inferred← citeshttps://doi.org/10.3934/dcds.2025104openalex-snapshot

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inferred← citeshttps://doi.org/10.3934/jmd.2016.10.497openalex-snapshot

Positive topological entropy for Reeb flows on 3-dimensional Anosov contact manifolds

inferred← citeshttps://doi.org/10.4007/annals.2008.168.435openalex-snapshot

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inferred← citeshttps://doi.org/10.4007/annals.2013.178.2.6openalex-snapshot

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inferred← citeshttps://doi.org/10.4171/cmh/265openalex-snapshot

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inferred← citeshttps://doi.org/10.4171/jems/1409openalex-snapshot

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inferred← citeshttps://doi.org/10.4310/cjm.2024.v12.n1.a2openalex-snapshot

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inferred← citeshttps://doi.org/10.4310/jdg/1090347526openalex-snapshot

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inferred← citeshttps://doi.org/10.4310/jdg/1214431801openalex-snapshot

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inferred← citeshttps://doi.org/10.4310/jdg/1214432791openalex-snapshot

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inferred← citeshttps://doi.org/10.4310/jdg/1214441177openalex-snapshot

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inferred← citeshttps://doi.org/10.4310/jdg/1214455076openalex-snapshot

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inferred← citeshttps://doi.org/10.48550/arxiv.0809.3472openalex-snapshot

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inferred← citeshttps://doi.org/10.48550/arxiv.1005.3134openalex-snapshot

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inferred← citeshttps://doi.org/10.48550/arxiv.1204.0879openalex-snapshot

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inferred← citeshttps://doi.org/10.48550/arxiv.1412.1760openalex-snapshot

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inferred← citeshttps://doi.org/10.48550/arxiv.2008.12898openalex-snapshot

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inferred← citeshttps://doi.org/10.5802/ahl.87openalex-snapshot

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inferred← citeshttps://doi.org/10.5802/aif.2340openalex-snapshot

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inferred← citeshttps://doi.org/10.5802/aif.2615openalex-snapshot

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inferred← citeshttps://doi.org/10.5802/aif.3339openalex-snapshot

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inferred← citeshttps://doi.org/10.5802/aif.3574openalex-snapshot

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inferred← citeshttps://doi.org/10.5802/jep.248openalex-snapshot

Local rigidity of manifolds with hyperbolic cusps II. Nonlinear theory

inferred← citeshttps://doi.org/10.5802/tsg.186openalex-snapshot

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inferred← citeshttps://doi.org/10.70675/0c574407z9dd8z475dz9c94zf79a6fcbc17eopenalex-snapshot

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inferred← citeshttps://doi.org/10.70675/2eb43537z8d16z4046za065zf453c6eef23copenalex-snapshot

Sur la rigidité des variétés riemanniennes

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