The first eigenvalue of Laplace operator under powers of mean curvature flow

DOI10.1007/S11425-010-3123-7zbMath1208.53070OpenAlexW2031905141MaRDI QIDQ625764

Liang Zhao

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-3123-7

zbMATH Keywords

monotonicityeigenvalueLaplace operator\(H^{k}\)-flow

Mathematics Subject Classification ID

Related Items (4)

First eigenvalues of geometric operators under the Yamabe flow ⋮ Evolution of the Steklov eigenvalue under geodesic curvature flow ⋮ Evolution of the first eigenvalue along the inverse mean curvature flow in space forms ⋮ Evolution of the first eigenvalue of the Laplace operator and the \(p\)-Laplace operator under a forced mean curvature flow

Cites Work

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• Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator
• Addenda to ``The entropy formula for linear heat equation
• Eigenvalues and energy functionals with monotonicity formulae under Ricci flow
• Eigenvalue monotonicity for the Ricci-Hamilton flow
• Evolution of convex hypersurfaces by powers of the mean curvature
• First eigenvalues of geometric operators under the Ricci flow

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