[BOOK][B] Geometry of isotropic convex bodies
The study of high-dimensional convex bodies from a geometric and analytic point of view,
with an emphasis on the dependence of various parameters on the dimension stands at the …
with an emphasis on the dependence of various parameters on the dimension stands at the …
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 …
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 …
[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 …
Lp dual curvature measures
A new family of geometric Borel measures on the unit sphere is introduced. Special cases
include the L p surface area measures (which extend the classical surface area measure of …
include the L p surface area measures (which extend the classical surface area measure of …
[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 …
Existence of solutions to the even dual Minkowski problem
Y Zhao - Journal of Differential Geometry, 2018 - projecteuclid.org
Recently, Huang, Lutwak, Yang & Zhang discovered the duals of Federer's curvature
measures within the dual Brunn–Minkowski theory and stated the “Minkowski problem” …
measures within the dual Brunn–Minkowski theory and stated the “Minkowski problem” …
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) …