Rigidity of Einstein manifolds of nonpositive curvature

DOI10.1016/S0926-2245(96)00047-2zbMath0877.53033WikidataQ115337598 ScholiaQ115337598MaRDI QIDQ1360107

Man-Chun Leung

Publication date: 2 December 1997

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

hyperbolic manifoldfundamental groupsspectral rigiditycompact Einstein manifoldnonpositive sectional curvature

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)

Cites Work

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• Fundamental groups of manifolds of nonpositive curvature
• Manifolds of nonpositive curvature
• Pinching constants for hyperbolic manifolds
• Isospectral sets of conformally equivalent metrics
• Manifolds of negative curvature
• A compact Kähler surface of negative curvature not covered by the ball
• Some inverse spectral results for negatively curved 2-manifolds
• On Kähler manifolds with negative holomorphic bisectional curvature
• Non-deformability of Einstein metrics
• Geometric superrigidity
• The hyperbolic manifolds are local minima of the topological entropy
• Entropy and rigidity of locally symmetric spaces of strictly negative curvature
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• On eigen-values of Laplacian and curvature of Riemannian manifold
• VOLUME AND THE FUNDAMENTAL GROUP OF A MANIFOLD OF NONPOSITIVE CURVATURE
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)