The uniqueness of Knieper measure on non-compact rank 1 manifolds of non-positive curvature

DOI10.1007/s10114-021-0465-8zbMath1479.37035OpenAlexW3198350512MaRDI QIDQ2230564

Yanyan Li

Publication date: 24 September 2021

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

Full work available at URL: https://doi.org/10.1007/s10114-021-0465-8

zbMATH Keywords

geodesic flowsPatterson-Sullivan measureKnieper measure

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Cites Work

• Ergodic geometry for non-elementary rank one manifolds
• Rufus Bowen (1947-1978)
• Asymptotic geometry and growth of conjugacy classes of nonpositively curved manifolds
• Structure of manifolds of nonpositive curvature. I
• Axial isometries of manifolds of non-positive curvature
• The limit set of a Fuchsian group
• The uniqueness of the measure of maximal entropy for geodesic flows on rank 1 manifolds
• The transitivity of geodesic flows on rank 1 manifolds without focal points
• Unique equilibrium states for geodesic flows in nonpositive curvature
• The unique measure of maximal entropy for a compact rank one locally CAT(0) space
• On the Patterson-Sullivan measure for geodesic flows on rank 1 manifolds without focal points
• Geodesic flows on negatively curved manifolds. I
• Visibility manifolds
• Equilibrium states in negative curvature

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