Isometry groups of Riemannian manifolds with bounded norms

DOI10.2748/tmj/1156256401zbMath1119.53025OpenAlexW1989901882WikidataQ115227293 ScholiaQ115227293MaRDI QIDQ854469

Seong-Hun Paeng

Publication date: 4 December 2006

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: http://www.math.tohoku.ac.jp/tmj/tohokumathjen.html

zbMATH Keywords

Ricci curvatureisometry groupnorm of manifold

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• The isometry groups of manifolds of nonpositive curvature with finite volume
• Convergence and rigidity of manifolds under Ricci curvature bounds
• Controlled geometry via smoothing
• The fundamental groups of almost nonnegatively curved manifolds
• A generalized sphere theorem
• Negative Ricci curvature and isometry group
• Relative volume comparison with integral curvature bounds
• A Bochner theorem and applications
• On the smoothness of isometries
• Almost flat manifolds
• A generalized almost flat manifold under a bounded weak \(C^{0,\alpha}\)-norm

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