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

^*Corresponding author for this work

School of Mathematical Sciences

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 'δK + â 'δT where δK and δT 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
Journal	Communications in Contemporary Mathematics
Volume	26
Issue number	9
DOIs	https://doi.org/10.1142/S0219199723500566
State	Published - 1 Nov 2024

Funding

Funders	Funder number
European Research Council
Israel Science Foundation	784/20
European Union s Horizon 2020 research and innovation program	770127

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

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Keywords

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