Kinematic formulas for sets defined by differences of convex functions

DOI10.1016/j.aim.2017.03.003zbMath1403.53062arXiv1505.03388OpenAlexW2963978666MaRDI QIDQ2400528

Dušan Pokorný, Jan Rataj, Joseph Howland Guthrie Fu

Publication date: 29 August 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03388

zbMATH Keywords

currentskinematic formula

Mathematics Subject Classification ID

Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (9)

Integral Geometric Regularity ⋮ Classification of angular curvature measures and a proof of the angularity conjecture ⋮ The Weyl principle on the Finsler frontier ⋮ A characterization of sets in ${\mathbb R}^2$ with DC distance function ⋮ Curvatures for unions of WDC sets ⋮ Fold-up derivatives of set-valued functions and the change-set problem: a survey ⋮ On sets in \(\mathbb{R}^d\) with DC distance function ⋮ Contact measures in isotropic spaces ⋮ Characterisation of valuations and curvature measures in euclidean spaces

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• Some Rigidity Results Related to Monge–Ampèere Functions
• Curvature Measures of Subanalytic Sets
• The directions of the line segments and of the r ‐dimensional balls on the boundary of a convex body in Euclidean space

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