Strong Uniqueness of the Ricci Flow

In this paper, we derive some local a priori estimates for Ricci flow. This gives rise to some strong uniqueness theorems. As a corollary, let $g(t)$ be a smooth complete solution to the Ricci flow on $mathbb{R}^{3}$, with the canonical Euclidean metric $E$ as initial data, then $g(t)$ is trivial, i.e. $g(t)equiv E$.

An Extension of Moks Theorem on the Generalized Frankel Conjecture

In this paper, we will give an extension of Moks theorem on the generalized Frankel conjecture under the condition of the orthogonal bisectional curvature.

A Simple Proof for the Generalized Frankel Conjecture

In this short paper, we will give a simple and transcendental proof for Moks theorem of the generalized Frankel conjecture. This work is based on the maximum principle in cite{BS2} proposed by Brendle and Schoen.

Manifolds with Pointwise Ricci Pinched Curvature

In this paper, we proved a compactness result about Riemannian manifolds with an arbitrary pointwisely pinched Ricci curvature tensor.

The Existence of Type II Singularities for the Ricci Flow on $S^{n+1}$

In this paper we prove the existence of Type II singularities for the Ricci flow on $S^{n+1}$ for all $ngeq 2$.