Boundary restricted Brunn-Minkowski inequalities

Shiri Artstein-Avidan; Tomer Falah; Boaz A. Slomka

doi:10.1142/S0219199723500566

Boundary restricted Brunn-Minkowski inequalities

Shiri Artstein-Avidan, Tomer Falah, Boaz A. Slomka

Mathematics discipline

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we explore questions regarding the Minkowski sum of the boundaries of convex sets. Motivated by a question suggested to us by V. Milman regarding the volume of ∂K + ∂T where K and T are convex bodies, we prove sharp volumetric lower bounds for the Minkowski average of the boundaries of sets with connected boundary, as well as some related results.

Original language	English
Article number	2350056
Pages (from-to)	1-14
Number of pages	14
Journal	Communications in Contemporary Mathematics
Volume	26
Issue number	9
DOIs	https://doi.org/10.1142/S0219199723500566
State	Accepted/In press - 2023

Bibliographical note

Publisher Copyright:
© 2023 World Scientific Publishing Company.

Keywords

Brunn-Minkowski inequality
Minkowski addition
boundary
convex bodies

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10.1142/S0219199723500566

Cite this

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Boundary restricted Brunn-Minkowski inequalities

Abstract

Bibliographical note

Keywords

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