Rigidity of compact manifolds with boundary and nonnegative Ricci curvature

DOI10.1090/S0002-9939-97-04078-1zbMath0882.53028OpenAlexW1602292083WikidataQ125741686 ScholiaQ125741686MaRDI QIDQ4336656

Chang-Yu Xia

Publication date: 13 May 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04078-1

zbMATH Keywords

rigiditymanifolds with boundarynonnegative Ricci curvature

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)

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Cites Work

• Unnamed Item
• Unnamed Item
• Rigidity of convex domains in manifolds with nonnegative Ricci and sectional curvature
• A first eigenvalue estimate for minimal hypersurfaces
• Manifolds of nonpositive curvature
• Compact hypersurfaces with constant scalar curvature and a congruence theorem
• Compact hypersurfaces with constant higher order mean curvatures
• Rigidity and sphere theorem for manifolds with positive Ricci curvature
• Local Rigidity of Symmetric Spaces

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