Diameter estimation of \((m, \rho)\)-quasi Einstein manifolds

DOI10.1007/s40010-024-00899-3MaRDI QIDQ6664024

A. A. Shaikh, Prosenjit Mandal, Chandan Kumar Mondal

Publication date: 15 January 2025

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

zbMATH Keywords

index formdiameter estimation\((m, \rho)\)-quasi Einstein manifold

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) Ricci flows (53E20)

Cites Work

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• The classification of \((m, \rho)\)-quasi-Einstein manifolds
• The Bakry-Emery Ricci tensor and its applications to some compactness theorems
• Generalized quasi-Einstein manifolds with harmonic Weyl tensor
• Triviality of compact \(m\)-quasi-Einstein manifolds
• Rigidity of quasi-Einstein metrics
• Gradient estimates for positive smooth \(f\)-harmonic functions
• A theorem of Myers
• Some applications of the Hodge-de Rham decomposition to Ricci solitons
• Three-manifolds with positive Ricci curvature
• Some characterizations of \(\rho\)-Einstein solitons
• On non-gradient \((m,\rho )\)-quasi-Einstein contact metric manifolds
• Ricci almost solitons with associated projective vector field
• Diameter estimation of gradient \(\rho \)-Einstein solitons
• On Ricci solitons whose potential is convex
• A note on almost Ricci solitons
• Compact gradient \(\rho\)-Einstein soliton is isometric to the Euclidean sphere
• Weyl scalars on compact Ricci solitons
• A remark on compact Ricci solitons
• Rigidity of (m,ρ)-quasi Einstein manifolds
• Differential Geometry of Special Mappings
• η-Ricci solitons on Lorentzian para-Sasakian manifolds
• Complete shrinking Ricci solitons have finite fundamental group
• Conformal Ricci soliton and geometrical structure in a perfect fluid spacetime

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