arXiv:0908.2006v1 [math.DG] 14 Aug 2009 Page 1 arXiv:0908.2006v1 [math.DG] 14 Aug
2009 RECENT PROGRESS ON RICCI SOLITONS HUAI-DONG CAO Abstract. In recent years …

Abstract In 1982, Hamilton introduced the Ricci flow to study compact three-manifolds with
positive Ricci curvature. Through decades of works of many mathematicians, the Ricci flow …

Ricci flow is a powerful analytic method for studying the geometry and topology of manifolds.
This book is an introduction to Ricci flow for graduate students and mathematicians …

We construct new families of Kähler-Ricci solitons on complex line bundles over ℂℙn− 1,
n≥ 2. Among these are examples whose initial or final condition is equal to a metric cone …

Elliptic and Parabolic Methods in Geometry Page 1 Elliptic and Parabolic Methods in Geometry
©1996 AK Peters, Ltd. EXISTENCE OF GRADIENT KAHLER-RICCI SOLITONS HUAI-DONG …

We study a notion weakening the Einstein condition on a left invariant Riemannian metric g
on a nilpotent Lie group N. We consider those metrics satisfying Ric _g=cI+D for some …

" In 1982, R. Hamilton introduced a nonlinear evolution equation for Riemannian metrics
with the aim of finding canonical metrics on manifolds. This evolution equation is known as …

An affine-invariant evolution equation for convex hypersurfaces in Euclidean space is
defined by assigning to each point a velocity equal to the affine normal vector. For an …

We consider the Kahler-Ricci flow d_ dt on a complex manifold X. Following [5], we have
Definiton 1.1. A complete solution gij to Eq.(ll) is called a Type II limit solution if it is defined …

Since the time of the Greek mathematicians, geometry has always been in the center of
science. Scientists cannot resist explaining natural phenomena in terms of the language of …