Some Rigidity Phenomena for Einstein Metrics
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Publication:3032952
DOI10.2307/2047956zbMath0691.53037OpenAlexW4246926918MaRDI QIDQ3032952
Publication date: 1990
Full work available at URL: https://doi.org/10.2307/2047956
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
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