A sphere theorem on locally conformally flat even-dimensional manifolds

DOI10.1007/S00229-011-0443-ZzbMath1226.53035OpenAlexW2048414613MaRDI QIDQ636844

Giovanni Catino, Zindine Djadli, Cheikh Birahim Ndiaye

Publication date: 30 August 2011

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-011-0443-z

zbMATH Keywords

Riemannian manifoldlocally conformally flatsphere theorem

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Topological methods for the resonant \(Q\)-curvature problem in arbitrary even dimension ⋮ Classification of pinched positive scalar curvature manifolds ⋮ On complete conformally flat submanifolds with nullity in Euclidean space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singular sets of a class of locally conformally flat manifolds
• Schouten tensor and some topological properties
• Effective \(L_p\) pinching for the concircular curvature
• Application of the method of moving planes to conformally invariant equations
• A fully nonlinear equation on four-manifolds with positive scalar curvature.
• Conformal geometry, contact geometry, and the calculus of variations
• Classification of singular radial solutions to the \(\sigma_k\) Yamabe equation on annular domains
• Some properties of the Schouten tensor and applications to conformal geometry
• Conformally flat manifolds with nonnegative Ricci curvature

This page was built for publication: A sphere theorem on locally conformally flat even-dimensional manifolds