Evolution of the first eigenvalue of weighted \(p\)-Laplacian along the Ricci-Bourguignon flow

zbMath1444.58003arXiv1903.09090MaRDI QIDQ782955

Shahroud Azami

Publication date: 29 July 2020

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.09090

zbMATH Keywords

eigenvalueweighted \(p\)-LaplacianRicci-Bourguignon flow

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Spectral theory; eigenvalue problems on manifolds (58C40) Ricci flows (53E20)

Related Items

On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow

Cites Work

• Unnamed Item
• Unnamed Item
• Evolution and monotonicity of eigenvalues under the Ricci flow
• The Ricci-Bourguignon flow
• Monotonicity of eigenvalues of geometric operators along the Ricci-Bourguignon flow
• Estimates on eigenvalues of Laplacian
• Eigenvalue estimate for the weighted \(p\)-Laplacian
• Monotonicity of eigenvalues of Witten-Laplace operator along the Ricci-bourguignon flow
• Gradient estimates on the weighted \(p\)-Laplace heat equation
• 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 variation of the p-Laplacian under the Yamabe flow
• Lower bound estimates for the first eigenvalue of the weighted \(p\)-Laplacian on smooth metric measure spaces

This page was built for publication: Evolution of the first eigenvalue of weighted \(p\)-Laplacian along the Ricci-Bourguignon flow