Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 52: Issue 4
On the average number of normals through points of a convex body
Authors:
Gábor Domokos Budapest University of Technology, Müegyetem rakpart 1-3., Budapest 1111, Hungary

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and
Zsolt Lángi Budapest University of Technology and Economics, Budapest, Egry József u. 1., 1111, Hungary

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Pages:
457–476
Online Publication Date:
Dec 2015
Publication Date:
01 Dec 2015
Article Category:
Research Article
DOI:
https://doi.org/10.1556/012.2015.52.4.1320
Keywords:
Primary 52A40; 52A20; 28A75; inner normals; diameter; constant width bodies; convex bodies; static equilibrium; eikonal equation
Restricted access

In 1944, Santaló 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.

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Cover Studia Scientiarum Mathematicarum Hungarica
Studia Scientiarum Mathematicarum Hungarica
Print ISSN:
0081-6906
Online ISSN:
1588-2896

Editors in Chief

Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics) 

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Studia Scientiarum Mathematicarum Hungarica
Language English
French
German
Size B5
Year of
Foundation		 1966
Volumes
per Year		 1
Issues
per Year		 4
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
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Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
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Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0081-6906 (Print)
ISSN 1588-2896 (Online)

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