Evolution of eigenvalues of a geometric operator under Ricci flow on a Riemannian manifold

DOI10.1016/J.JMAA.2022.125990zbMath1489.53131OpenAlexW4206522164WikidataQ115345848 ScholiaQ115345848MaRDI QIDQ2075224

Paul Bracken

Publication date: 14 February 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.125990

zbMATH Keywords

eigenvaluesRiemannian manifoldRicci flowLaplacian

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Spectral theory; eigenvalue problems on manifolds (58C40) Spectral flows (58J30) Ricci flows (53E20)

Cites Work

• Unnamed Item
• Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator
• Deforming metrics in the direction of their Ricci tensors
• Four-manifolds with positive curvature operator
• Three-manifolds with positive Ricci curvature

This page was built for publication: Evolution of eigenvalues of a geometric operator under Ricci flow on a Riemannian manifold