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 …

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 …

This book is an introduction to the subject of mean curvature flow of hypersurfaces with
special emphasis on the analysis of singularities. This flow occurs in the description of the …

We present some results on a family of geometric flows introduced by JP Bourguignon in
1981 that generalize the Ricci flow. For suitable values of the scalar parameter involved in …

In this paper we establish new geometric and analytic bounds for Ricci flows, which will form
the basis of a compactness, partial regularity and structure theory for Ricci flows in [Bam20a …

This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the
required aspects of differential geometry, progressing through existence and regularity …

A bstract Ricci flat metrics for Calabi-Yau threefolds are not known analytically. In this work,
we employ techniques from machine learning to deduce numerical flat metrics for K3, the …

The main aim of this book is to present recent developments of comparison geometry and
geometric analysis on Finsler manifolds in an accessible way to students and researchers …

The Geometrisation Conjecture was proposed by William Thurston in the mid 1970s in order
to classify compact 3-manifolds by means of a canonical decomposition along essential …

In this paper, we classify $ n $-dimensional ($ n\geq 3$) complete noncompact locally
conformally flat gradient steady solitons. In particular, we prove that a complete noncompact …