Perelman’s Entropy for Some Families of Canonical Metrics

DOI10.1080/10586458.2014.898220zbMath1310.53042arXiv1402.5625OpenAlexW2104471684MaRDI QIDQ5249304

Stuart James Hall

Publication date: 30 April 2015

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5625

zbMATH Keywords

Ricci flowEinstein metricRicci solitonPerelman's entropy

Mathematics Subject Classification ID

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

Cites Work

• New inhomogeneous Einstein metrics on sphere bundles over Einstein-Kähler manifolds
• Computing Perelman's \(\nu\)-functional
• On Ricci solitons of cohomogeneity one
• Logarithmic Sobolev inequalities and the spectrum of Schrödinger operators
• Einstein metrics on \(S^2\)-bundles
• On a class of compact and non-compact quasi-Einstein metrics and their renormalizability properties
• Quasi-Einstein metrics on hypersurface families
• Compact Einstein warped product spaces with nonpositive scalar curvature
• Existence of Gradient Kahler-Ricci Solitons