A Class of Monotonic Quantities along the Ricci Flow

Abstract

We construct a class of monotonic quantities along the normalized Ricci flow on closed n-dimensional manifolds.

The only revision from the previous version dated October 23 1007 (yesterday) is that we have added a remark (Line 6 to line 4 from the bottom on Page 1) on our Referece [6] to make our citation clearer

References in corpus (1)

• A Comparison Theorem and A Sharp Bound via the Ricci Flow

Cited by in corpus (6)

• First eigenvalue of the $p$-Laplace operator 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
• Eigenvalues under the backward Ricci flow on locally homogeneous closed 3-manifolds