New notion of index for hedgehogs of \(\mathbb R^3\) and applications
type: Item
instance of: scholarly article
title: New notion of index for hedgehogs of \(\mathbb R^3\) and applications
zbMATH Open document ID: 1196.52005
author: Yves Martinez-Maure
published in: European Journal of Combinatorics
publication date: 2010-05-28T00:00:00Z
review text: Hedgehogs describe as hypersurfaces (formal) Minkowski differences of convex bodies or closed convex hypersurfaces. The author gives a brief survey of hedgehog theory and a short introduction to the Minkowski problem for hedgehogs and to the problem of search for Sturm-Hurwitz type theorems. Finally, he introduces a new notion of index for hedgehogs with first geometrical applications.
reviewed by: Eike Hertel
Mathematics Subject Classification ID: 52A30
Mathematics Subject Classification ID: 52A15
Mathematics Subject Classification ID: 53A05
zbMATH DE Number: 5713499
zbMATH Keywords: hedgehogs
zbMATH Keywords: differences of convex bodies
zbMATH Keywords: Minkowski problem
zbMATH Keywords: convex surfaces
MaRDI profile type: Publication
full work available at URL: j.ejc.2009.11.015
OpenAlex ID: W2027977482
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DOI: 10.1016/J.EJC.2009.11.015
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description: scientific article; zbMATH DE number 5713499