We show that every entire self-shrinking solution on C-1 to the Kahler-Ricci flow must be generated from a quadratic potential.CSC (China Scholarship Council)SCI(E)ARTICLE73105-310814
In the mean curvature flow theory, a topic of great interest is to study possible singularitiesof th...
AbstractIt is shown that the Omori–Yau maximum principle holds true on complete gradient shrinking R...
This is an expository paper dedicated to professor L. Nirenberg for his 85th birthday. First I will ...
Thesis (Ph.D.)--University of Washington, 2014We construct new examples of self-shrinking solutions ...
We show that any ancient solution to the Ricci flow which satisfies a suitable curvature pinching co...
In first part of this thesis we consider the Ricci flow, an evolution equation for Riemannian metric...
We show that any ancient solution to the Ricci flow which satisfies a suitable curvature pinching co...
In this paper, we give a rigidity theorem for a complete non-compact expanding (or steady) Ricci sol...
In this paper, we first use the method of Colding and Minicozzi II [7] to show that K. Smoczyk's cla...
To every Ricci flow on a manifold over a time interval IR−, we associate a shrinking Ricci soliton ...
In this paper, we generalize Colding-Minicozzi's recent results about codimension-1 self-shrinkers f...
This thesis consists of three parts. Each part solves a geometric problem in geometric analysis usin...
textIn 2002, Feldman, Ilmanen, and Knopf constructed the first example of a non-trivial (i.e. non-co...
AbstractWe prove Gaussian type bounds for the fundamental solution of the conjugate heat equation ev...
In this paper, we study the dilation limit of solutions to the Ricci flow on manifolds with nonnegat...
In the mean curvature flow theory, a topic of great interest is to study possible singularitiesof th...
AbstractIt is shown that the Omori–Yau maximum principle holds true on complete gradient shrinking R...
This is an expository paper dedicated to professor L. Nirenberg for his 85th birthday. First I will ...
Thesis (Ph.D.)--University of Washington, 2014We construct new examples of self-shrinking solutions ...
We show that any ancient solution to the Ricci flow which satisfies a suitable curvature pinching co...
In first part of this thesis we consider the Ricci flow, an evolution equation for Riemannian metric...
We show that any ancient solution to the Ricci flow which satisfies a suitable curvature pinching co...
In this paper, we give a rigidity theorem for a complete non-compact expanding (or steady) Ricci sol...
In this paper, we first use the method of Colding and Minicozzi II [7] to show that K. Smoczyk's cla...
To every Ricci flow on a manifold over a time interval IR−, we associate a shrinking Ricci soliton ...
In this paper, we generalize Colding-Minicozzi's recent results about codimension-1 self-shrinkers f...
This thesis consists of three parts. Each part solves a geometric problem in geometric analysis usin...
textIn 2002, Feldman, Ilmanen, and Knopf constructed the first example of a non-trivial (i.e. non-co...
AbstractWe prove Gaussian type bounds for the fundamental solution of the conjugate heat equation ev...
In this paper, we study the dilation limit of solutions to the Ricci flow on manifolds with nonnegat...
In the mean curvature flow theory, a topic of great interest is to study possible singularitiesof th...
AbstractIt is shown that the Omori–Yau maximum principle holds true on complete gradient shrinking R...
This is an expository paper dedicated to professor L. Nirenberg for his 85th birthday. First I will ...