Besicovitch covering lemma, Hadamard manifolds, and zero entropy

DOI10.1007/BF02921312zbMath0738.53028OpenAlexW2091303787WikidataQ124971432 ScholiaQ124971432MaRDI QIDQ1177617

Quo-Shin Chi

Publication date: 26 June 1992

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921312

zbMATH Keywords

Riemannian manifoldgeodesic flowtopological entropyfocal pointsHadamard manifoldcompact quotientBesicovitch Covering Lemma

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Global Riemannian geometry, including pinching (53C20) Ergodic theory (37A99)

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Cites Work

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• Nonpositively curved manifolds of higher rank
• Structure of manifolds of nonpositive curvature. I
• Manifolds of nonpositive curvature
• Structure of manifolds of nonpositive curvature. II
• Topological entropy for geodesic flows
• Weak type \(L^ 1\) estimates for maximal functions on non-compact symmetric spaces
• When is a geodesic flow of Anosov type, II
• Isometry groups of simply connected manifolds of nonpositive curvature. II
• Visibility manifolds
• GEODESIC FLOWS ON CLOSED RIEMANNIAN MANIFOLDS WITHOUT FOCAL POINTS
• Geodesic Flow in Certain Manifolds Without Conjugate Points
• Closed Surfaces Without Conjugate Points

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