[图书][B] Hamilton's 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 …
This book is an introduction to Ricci flow for graduate students and mathematicians …
Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems
A longstanding question in the dual Brunn–Minkowski theory is “What are the dual
analogues of Federer's curvature measures for convex bodies?” The answer to this is …
analogues of Federer's curvature measures for convex bodies?” The answer to this is …
Generic mean curvature flow I; generic singularities
TH Colding, WP Minicozzi - Annals of mathematics, 2012 - JSTOR
It has long been conjectured that starting at a generic smooth closed embedded surface in R
3, the mean curvature flow remains smooth until it arrives at a singularity in a neighborhood …
3, the mean curvature flow remains smooth until it arrives at a singularity in a neighborhood …
Chord measures in integral geometry and their Minkowski problems
To the families of geometric measures of convex bodies (the area measures of Aleksandrov‐
Fenchel‐Jessen, the curvature measures of Federer, and the recently discovered dual …
Fenchel‐Jessen, the curvature measures of Federer, and the recently discovered dual …
The logarithmic Minkowski problem
The logarithmic Minkowski problem Page 1 JOURNAL OF THE AMERICAN MATHEMATICAL
SOCIETY Volume 26, Number 3, July 2013, Pages 831–852 S 0894-0347(2012)00741-3 …
SOCIETY Volume 26, Number 3, July 2013, Pages 831–852 S 0894-0347(2012)00741-3 …
[HTML][HTML] The log-Brunn–Minkowski inequality
For origin-symmetric convex bodies (ie, the unit balls of finite dimensional Banach spaces) it
is conjectured that there exist a family of inequalities each of which is stronger than the …
is conjectured that there exist a family of inequalities each of which is stronger than the …
The Lp-Minkowski problem and the Minkowski problem in centroaffine geometry
KS Chou, XJ Wang - Advances in Mathematics, 2006 - Elsevier
The Lp-Minkowski problem introduced by Lutwak is solved for p⩾ n+ 1 in the smooth
category. The relevant Monge–Ampère equation (0.1) is solved for all p> 1. The same …
category. The relevant Monge–Ampère equation (0.1) is solved for all p> 1. The same …
[HTML][HTML] The logarithmic Minkowski problem for polytopes
G Zhu - Advances in Mathematics, 2014 - Elsevier
The logarithmic Minkowski problem asks for necessary and sufficient conditions for a finite
Borel measure on the unit sphere so that it is the cone-volume measure of a convex body …
Borel measure on the unit sphere so that it is the cone-volume measure of a convex body …
[HTML][HTML] On the Lp dual Minkowski problem
Y Huang, Y Zhao - Advances in Mathematics, 2018 - Elsevier
The L p dual curvature measure was introduced by Lutwak, Yang & Zhang in an attempt to
unify the L p Brunn–Minkowski theory and the dual Brunn–Minkowski theory. The …
unify the L p Brunn–Minkowski theory and the dual Brunn–Minkowski theory. The …
The centro-affine Minkowski problem for polytopes
G Zhu - Journal of Differential Geometry, 2015 - projecteuclid.org
THE CENTRO-AFFINE MINKOWSKI PROBLEM FOR POLYTOPES Guangxian Zhu Abstract 1.
Introduction The setting for this paper is n-dimensi Page 1 j. differential geometry 101 (2015) …
Introduction The setting for this paper is n-dimensi Page 1 j. differential geometry 101 (2015) …