Electronic Resource
Springer
Geometriae dedicata
82 (2000), S. 285-323
ISSN:
1572-9168
Keywords:
integral geometry
;
tame stratifications
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1005248711077
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