Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other areas. The book gives …
R Gardner - Bulletin of the American mathematical society, 2002 - ams.org
In 1978, Osserman [124] wrote an extensive survey on the isoperimetric inequality. The Brunn-Minkowski inequality can be proved in a page, yet quickly yields the classical …
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 …
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 …
E Lutwak, D Xi, D Yang, G Zhang - Communications on Pure …, 2024 - Wiley Online Library
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 …
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 …
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 …
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 …
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 …