Characterizations of weakly conformally flat and quasi Einstein manifolds

DOI10.1007/s00022-023-00680-8zbMath1520.53032arXiv2212.00559OpenAlexW4383617447MaRDI QIDQ6115809

Ramesh Sharma

Publication date: 10 August 2023

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

Full work available at URL: https://arxiv.org/abs/2212.00559

zbMATH Keywords

warped productBach flatquasi Einsteinweakly conformally flat

Mathematics Subject Classification ID

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

Cites Work

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• On Bach flat warped product Einstein manifolds
• Sasakian metric as a Ricci soliton and related results
• Rigidity of quasi-Einstein metrics
• On quasi Einstein manifolds
• On \(\eta\)-Einstein Sasakian geometry
• Homothetic and conformal symmetries of solutions to Einstein's equations
• The large \(N\) limit of superconformal field theories and supergravity
• On the curvature of contact metric manifolds
• Special conformally flat spaces and canal hypersurfaces
• Rigid properties of quasi-Einstein metrics
• Exact Solutions of Einstein's Field Equations
• The Large Scale Structure of Space-Time
• Riemannian geometry of contact and symplectic manifolds

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