Rigidity for closed manifolds with positive curvature

DOI10.1007/s10455-008-9151-7zbMath1178.53033OpenAlexW1973048922MaRDI QIDQ833327

Chang-Yu Xia

Publication date: 12 August 2009

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-008-9151-7

zbMATH Keywords

rigidityconjugate locusclosed manifolds

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items

POSITIVELY CURVED MANIFOLDS WITH LARGE CONJUGATE RADIUS

Cites Work

• A sphere theorem with a pinching constant below \({1\over 4}\)
• Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
• Odd-dimensional Wiedersehen manifolds are spheres
• Volume comparison à la Aleksandrov
• A radius sphere theorem
• Pinching below \(1\over 4\), injectivity radius, and conjugate radius
• On the geometry of positively curved manifolds with large radius
• Auf-Wiedersehens-Flächen
• A generalization of Berger's rigidity theorem for positively curved manifolds
• A round sphere theorem for positive sectional curvature
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