Evolution of the first eigenvalue of the clamped plate on manifold along the Ricci flow

DOI10.1080/17476933.2019.1624730zbMath1436.53071OpenAlexW2954362096WikidataQ125986240 ScholiaQ125986240MaRDI QIDQ4960394

Shahroud Azami

Publication date: 15 April 2020

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2019.1624730

zbMATH Keywords

eigenvalueRicci flowLaplace

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Ricci flows (53E20)

Cites Work

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• First eigenvalue monotonicity for the \(p\)-Laplace operator under the Ricci flow
• Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator
• Evolution and monotonicity of the first eigenvalue of \(p\)-Laplacian under the Ricci-harmonic flow
• Deforming metrics in the direction of their Ricci tensors
• On the first eigenvalue of the clamped plate
• Three-manifolds with positive Ricci curvature
• Rayleigh's conjecture on the principal frequency of the clamped plate

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