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On the average number of normals through points of a convex body

Domokos, Gábor and Lángi, Zsolt (2014) On the average number of normals through points of a convex body. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 52 (4). ISSN 0081-6906

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Abstract

In 1944, Santal\'o asked about the average number of normals through a point of a given convex body. Since then, numerous results appeared in the literature about this problem. The aim of this paper is to add to this list some new, recent developments. We point out connections of the problem to static equilibria of rigid bodies as well as to geometric partial differential equations of surface evolution.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria
Depositing User: Dr. Zsolt Lángi
Date Deposited: 24 Sep 2014 20:32
Last Modified: 22 May 2016 19:02
URI: http://real.mtak.hu/id/eprint/16578

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