Crofton Formulae for Tensor-Valued Curvature Measures

DOI10.1007/978-3-319-51951-7_5zbMath1375.53095arXiv1606.05131OpenAlexW2963868440MaRDI QIDQ5275815

Daniel Hug, Jan A. Weis

Publication date: 14 July 2017

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.05131

zbMATH Keywords

integral geometryvaluationkinematic formulaCrofton formula

Mathematics Subject Classification ID

Integral geometry (53C65)

Related Items (5)

Additive kinematic formulas for flag area measures ⋮ Rotational Crofton formulae for Minkowski tensors and some affine counterparts ⋮ Mean surface and volume particle tensors under \(L\)-restricted isotropy and associated ellipsoids ⋮ Vectorial analogues of Cauchy's surface area formula ⋮ Kinematic formulae for tensorial curvature measures

Cites Work

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• Description of continuous isometry covariant valuations on convex sets
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• Local tensor valuations
• Additive Funktionale \(k\)-dimensionaler Eikörper. I
• Curvature Measures
• Surface tensor estimation from linear sections
• Stochastic and Integral Geometry
• Translative and Kinematic Formulae for Curvature Measures of Flat Sections
• Random Fields and Geometry
• Convex Bodies The Brunn-MinkowskiTheory
• The space of isometry covariant tensor valuations

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