On Finsler manifolds with hyperbolic geodesic flows

DOI10.1007/s00013-021-01607-yzbMath1481.37034OpenAlexW3168590261WikidataQ115609526 ScholiaQ115609526MaRDI QIDQ2042006

Yanyan Li

Publication date: 26 July 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-021-01607-y

zbMATH Keywords

Finsler metricAnosov flowKähler hyperbolicity

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Cites Work

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• Global properties of tight Reeb flows with applications to Finsler geodesic flows on S²
• On Finsler manifolds of negative flag curvature
• Kähler parabolicity and the Euler number of compact manifolds of non-positive sectional curvature

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