Ergodic measures of geodesic flows on compact Lie groups

DOI10.1007/s10114-013-1515-7zbMath1285.53073OpenAlexW2073115734WikidataQ115385231 ScholiaQ115385231MaRDI QIDQ383629

Wen Xiang Sun, Gang Liao

Publication date: 5 December 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1515-7

zbMATH Keywords

geodesic flowstopological entropycompact Lie groupsbi-invariant metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Topological entropy (37B40) Geodesic flows in symplectic geometry and contact geometry (53D25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Volume and bounded cohomology
• Volume growth and entropy
• Topological entropy for geodesic flows
• A surface with positive curvature and positive topological entropy
• \(C^ \infty\) genericity of positive topological entropy for geodesic flows on \(S^ 2\).
• Some examples of manifolds of nonnegative curvature
• When is a geodesic flow of Anosov type, I
• Riemannian manifolds with geodesic flow of Anosov type
• Asymptotic formulae for Brillouin index on Riemannian manifolds
• Entropy and volume
• An inequality for the entropy of differentiable maps
• GEODESIC FLOWS ON CLOSED RIEMANNIAN MANIFOLDS WITHOUT FOCAL POINTS
• Zero entropy, non-integrable geodesic flows and a non-commutative rotation vector
• SOME SMOOTH ERGODIC SYSTEMS
• Almost flat manifolds
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

This page was built for publication: Ergodic measures of geodesic flows on compact Lie groups