Entropy and heat kernel on generalized Ricci flow

DOI10.1007/s12220-023-01488-3arXiv2212.05414OpenAlexW4389828975WikidataQ125614203 ScholiaQ125614203MaRDI QIDQ6143104

Xilun Li

Publication date: 23 January 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.05414

zbMATH Keywords

Nash entropyPerelman entropygeneralized Ricci flowconjugate heat operatorparabolic curvature radius

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Heat kernel (35K08) Ricci flows (53E20)

Cites Work

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• Regularity results for pluriclosed flow
• The fundamental solution on manifolds with time-dependent metrics
• Ricci-Yang-Mills flow on surfaces and pluriclosed flow on elliptic fibrations
• New Logarithmic Sobolev Inequalities and an ɛ-Regularity Theorem for the Ricci Flow
• Generalized Ricci Flow
• A Parabolic Flow of Pluriclosed Metrics
• Compactness theory of the space of super Ricci flows
• Scalar Curvature, Entropy, and Generalized Ricci Flow

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