Estimates and monotonicity of the first eigenvalues under the Ricci flow on closed surfaces

DOI10.1007/s40304-015-0083-9zbMath1342.53089OpenAlexW2368653254MaRDI QIDQ726690

Liang Zhao, Shouwen Fang, Peng Zhu

Publication date: 13 July 2016

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40304-015-0083-9

zbMATH Keywords

Ricci flowfirst eigenvalueWitten-Laplacian

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

On the spectra of a family of geometric operators evolving with geometric flows

Cites Work

• Unnamed Item
• The first eigenvalue of \(p\)-Laplace operator under powers of the \(m\)th mean curvature flow
• Entropy and lowest eigenvalue on evolving manifolds
• Estimate and monotonicity of the first eigenvalue under the Ricci flow
• Evolution and monotonicity of eigenvalues under the Ricci flow
• Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator
• Eigenvalues and energy functionals with monotonicity formulae under Ricci flow
• Inequalities for eigenvalues of the drifting Laplacian on Riemannian manifolds
• Eigenvalue monotonicity for the Ricci-Hamilton flow
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
• FIRST EIGENVALUES OF GEOMETRIC OPERATORS UNDER THE YAMABE FLOW
• First eigenvalues of geometric operators under the Ricci flow
• EIGENVALUES OF GEOMETRIC OPERATORS RELATED TO THE WITTEN LAPLACIAN UNDER THE RICCI FLOW
• The first eigenvalue of the p -Laplace operator under powers of mean curvature flow

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