Characterizations of Einstein manifolds and odd-dimensional spheres

DOI10.1016/j.geomphys.2011.06.009zbMath1225.53044OpenAlexW2044721260MaRDI QIDQ720662

Sharief Deshmukh

Publication date: 11 October 2011

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2011.06.009

zbMATH Keywords

Ricci curvatureEinstein manifoldsconformally flat manifoldsKilling vector fields

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of local Riemannian geometry (53B21)

Related Items (5)

A note on hypersurfaces in a sphere ⋮ Some characterizations of spheres by conformal vector fields ⋮ Geodesic vector fields and eikonal equation on a Riemannian manifold ⋮ Spectral geometry of eta-Einstein Sasakian manifolds ⋮ A note on some remarkable differential equations on a Riemannian manifold

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on non-compact gradient Ricci solitons
• Contact manifolds in Riemannian geometry
• Einstein-like manifolds which are not Einstein
• Killing Vector Fields on Complete Riemannian Manifolds
• Positive curvature, local and global symmetry, and fundamental groups
• Sufficient Conditions for Periodicity of a Killing Vector Field

This page was built for publication: Characterizations of Einstein manifolds and odd-dimensional spheres