First eigenvalues of geometric operators under the Ricci flow

DOI10.1090/S0002-9939-08-09533-6zbMath1166.58007arXiv0710.3947MaRDI QIDQ3532535

Xiaodong Cao

Publication date: 28 October 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3947

zbMATH Keywords

Ricci flowLaplaciannormalized Ricci flowmonotonicity formula for eigenvalues

Mathematics Subject Classification ID

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Cites Work

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• Irreversibility of world-sheet renormalization group flow
• Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator
• Evolution of Yamabe constant under Ricci flow
• Notes on Perelman's papers
• Ricci solitons on compact three-manifolds
• Eigenvalues and energy functionals with monotonicity formulae under Ricci flow
• Eigenvalue monotonicity for the Ricci-Hamilton flow

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