Geometric evolution equations for hypersurfaces

F Bethuel, G Huisken, S Müller, K Steffen… - … at the 2nd Session of the …, 1999 - Springer
Geometric evolution equations for hypersurfaces Page 1 Geometric evolution equations for
hypersurfaces GERHARD HUISKEN AND ALEXANDER POLDEN 1 Introduction Let Fo : Mn -> …

[图书][B] Convex and discrete geometry

PM Gruber - 2007 - Springer
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 …

The brunn-minkowski inequality

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 …

[图书][B] Hamilton's Ricci flow

B Chow, P Lu, L Ni - 2023 - books.google.com
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 …

Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems

Y Huang, E Lutwak, D Yang, G Zhang - 2016 - projecteuclid.org
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 …

Chord measures in integral geometry and their Minkowski problems

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

K Böröczky, E Lutwak, D Yang, G Zhang - Journal of the American …, 2013 - ams.org
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 …

[HTML][HTML] The log-Brunn–Minkowski inequality

KJ Böröczky, E Lutwak, D Yang, G Zhang - Advances in Mathematics, 2012 - Elsevier
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 …

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 …

[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 …