An Application of Yau's Maximum Principle to Conformally Flat Spaces

DOI10.2307/2043248zbMath0452.53026OpenAlexW4240460985WikidataQ125760490 ScholiaQ125760490MaRDI QIDQ3899134

Samuel I. Goldberg

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2307/2043248

zbMATH Keywords

Ricci curvaturespace formsconformally flat spacesumbilical hypersurfaces

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (15)

Geometries and topologies of conformally flat Riemannian manifolds ⋮ Rigidity of complete manifolds with parallel Cotton tensor ⋮ Conformally flat Riemannian manifolds with finite \(L^p\)-norm curvature ⋮ \(L^p\)-vanishing results for conformally flat manifolds and submanifolds ⋮ A contribution to the geometry in the large of conformal diffeomorphisms ⋮ Some remarks on Bach-flat manifolds with positive constant scalar curvature ⋮ Conformally Flat Spaces and a Pinching Problem on the Ricci Tensor ⋮ On the structure of conformally flat Riemannian manifolds ⋮ Rigidity theorems for complete Sasakian manifolds with constant pseudo-Hermitian scalar curvature ⋮ On the isolation phenomena of locally conformally flat manifolds with constant scalar curvature -- submanifolds versions ⋮ On higher-order Codazzi tensors on complete Riemannian manifolds ⋮ The topological structure of conformally flat Riemannian manifolds ⋮ Locally conformally flat manifolds with constant scalar curvature ⋮ \(L^p\) harmonic 1-forms on conformally flat Riemannian manifolds ⋮ Some characterizations of space-forms

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