Some Rigidity Phenomena for Einstein Metrics

DOI10.2307/2047956zbMath0691.53037OpenAlexW4246926918MaRDI QIDQ3032952

Zhong-min Shen

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047956

zbMATH Keywords

volumerigidityconstant curvatureSobolev inequalityEinstein metric

Mathematics Subject Classification ID

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

Related Items (10)

Some rigidity results for noncompact gradient steady Ricci solitons and Ricci-flat manifolds ⋮ A vanishing result for the supersymmetric nonlinear sigma model in higher dimensions ⋮ Rigidity theorems of complete Kähler-Einstein manifolds and complex space forms ⋮ A remark on p-harmonic maps ⋮ Rigidity theorems for complete Sasakian manifolds with constant pseudo-Hermitian scalar curvature ⋮ Rigidity of noncompact complete Bach-flat manifolds ⋮ Rigidity of noncompact complete manifolds with harmonic curvature ⋮ Rigidity Theorems for Nonpositive Einstein Metrics ⋮ A nonexistence theorem for proper biharmonic maps into general Riemannian manifolds ⋮ \(F\)-biharmonic maps into general Riemannian manifolds

Cites Work

• Complete Ricci-flat Kähler manifolds of infinite topological type
• Gap theorems for noncompact Riemannian manifolds
• Convergence of Riemannian manifolds; Ricci and \(L^{n/2}\)-curvature pinching
• Self-dual solutions to Euclidean gravity
• Three-manifolds with positive Ricci curvature
• Ricci Curvature Bounds and Einstein Metrics on Compact Manifolds
• From vanishing theorems to estimating theorems: the Bochner technique revisited
• Some isoperimetric inequalities and eigenvalue estimates
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some Rigidity Phenomena for Einstein Metrics