Results 91 to 100 of about 489,827 (153)

Brunn–Minkowski Inequalities for Sprays on Surfaces

open access: yesThe Journal of Geometric Analysis
AbstractWe propose a generalization of the Minkowski average of two subsets of a Riemannian manifold, in which geodesics are replaced by an arbitrary family of parametrized curves. Under certain assumptions, we characterize families of curves on a Riemannian surface for which a Brunn–Minkowski inequality holds with respect to a given volume form.
openaire   +3 more sources

Discrete Brunn–Minkowski inequality for subsets of the cube

open access: yesCombinatorica
25 pages. References added.
Lars Becker   +3 more
openaire   +2 more sources

A Brunn-Minkowski Type Theorem on the Minkowski Spacetime

open access: yes, 1999
In this article, we derive a Brunn-Minkowski type theorem for sets bearing some relation to the causal structure on the Minkowski spacetime . We also present an isoperimetric inequality in the Minkowski spacetime as a consequence of this Brunn-Minkowski
Hyoungsick Bahn, Paul Ehrlich
core   +1 more source

A survey of discrete version of Brunn Minkowski inequality

open access: yes, 2014
在本論文中,我們會先定義一個Brunn-Minkowski不等式。然後我們在第一部 分中首先證明它會收斂。在第二部分中,我們會證明一個離散型式的metric space 也會滿足Brunn-Minkowski不等式。In the rst part of the paper, we give a new de nition of Brunn- Minkowski inequality in metric measure space. Then we show the stability of Brunn-
施柏丞, Shih, Po-Chen
core  

Gaussian Brunn-Minkowski inequalities

open access: yes, 2020
. A detailed investigation is undertaken into Brunn-Minkowski-type inequalities for Gauss measure. A Gaussian dual Brunn-Minkowski inequality is proved, together with precise equality conditions, and shown to be best possible from several points of view.
Artem Zvavitch, Richard J Gardner
core  

On a complementary Minkowski inequality [PDF]

open access: yes, 1979
It is shown that the Brunn-Minkowski inequality can be viewed as a special case of a complementary Minkowski ...
Lutwak, Erwin
core   +1 more source

On Multiple $$L_p$$-Curvilinear-Brunn–Minkowski Inequalities

open access: yesThe Journal of Geometric Analysis
Abstract We construct the extension of the curvilinear summation for bounded Borel measurable sets to the $$L_p$$ L p
Michael Roysdon, Sudan Xing
openaire   +3 more sources

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