✦ LIBER ✦
Translative and Kinematic Formulae for Curvature Measures of Flat Sections
✍ Scribed by Jan Rataj
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 439 KB
- Volume
- 197
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
Let X be a set of positive reach in the d‐dimensional Euclidean space. We present formulae for the integrals of the curvature measures of flat sections of X with respect to all translations/Euclidean motions of the sectioning flat. We consider the (generalized) curvature measures supported by the corresponding unit normal bundle. As a special case we obtain formulae for the spherical area measures.