Integral geometry of tame sets
type: Item
instance of: scholarly article
title: Integral geometry of tame sets
zbMATH Open document ID: 1023.53057
DOI: 10.1023/A:1005248711077
author: Martin Kuppe
author: Ludwig Broecker
published in: Geometriae Dedicata
publication date: 2003-04-09T00:00:00Z
review text: Curvature measures on certain tame Whitney-stratified sets are defined as coefficients of modified volume-growth polynomials. Stratified Morse theory yields alternative descriptions of these curvature measures for tame (possibly highly singular) sets. From this we obtain a generalized Gauss-Bonnet formula and various kinematic formulas. Finally, for O-minimal sets it is shown that curvature measures only depend on the inner metric.
Mathematics Subject Classification ID: 53C65
Mathematics Subject Classification ID: 52A22
Mathematics Subject Classification ID: 57N80
zbMATH DE Number: 1547916
zbMATH Keywords: integral geometry
zbMATH Keywords: tame stratifications
zbMATH Keywords: generalized Gauss-Bonnet formula
zbMATH Keywords: kinematic formulas
reviewed by: Grozio Stanilov
MaRDI profile type: Publication
full work available at URL: a:1005248711077
OpenAlex ID: W1553947753
description: scientific article; zbMATH DE number 1547916