A Comparison Theorem and A Sharp Bound via the Ricci Flow

Abstract

We prove a comparison theorem for the compact surfaces with negative Euler characteristic via the Ricci flow.

Cited by in corpus (6)

• First eigenvalue of the $p$-Laplace operator along the Ricci flow
• A Class of Monotonic Quantities along the Ricci Flow
• Eigenvalues under the Ricci flow of model geometries
• Sharp estimate of lower bound for the first eigenvalue in the Laplacian operator on compact Riemannian manifolds
• Some Asymptotic Behavior of the first Eigenvalue along the Ricci Flow
• Monotonicity of eigenvalues of geometric operaters along the Ricci-Bourguignon flow