Integral geometry of tame sets (Q1590673)
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scientific article; zbMATH DE number 1547916
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral geometry of tame sets |
scientific article; zbMATH DE number 1547916 |
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Integral geometry of tame sets (English)
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9 April 2003
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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.
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integral geometry
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tame stratifications
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generalized Gauss-Bonnet formula
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kinematic formulas
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