Report
Boundary restricted Brunn-Minkowski inequalities
| العنوان: | Boundary restricted Brunn-Minkowski inequalities |
|---|---|
| المؤلفون: | Artstein-Avidan, Shiri, Falah, Tomer, Slomka, Boaz A. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Metric Geometry, 52A20, 52A38, 52A40 |
| الوصف: | 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 $\partial K+ \partial T$ 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. Comment: Previous version extended and split into three papers. This is paper no. 1; 13 pages, 3 figures, published in Communications in Contemporary Mathematics |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1142/S0219199723500566 |
| URL الوصول: | http://arxiv.org/abs/2306.15293 |
| رقم الانضمام: | edsarx.2306.15293 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1142/S0219199723500566 |
|---|