Integral geometry of tame sets

DOI10.1023/A:1005248711077zbMath1023.53057OpenAlexW1553947753MaRDI QIDQ1590673

Martin Kuppe, Ludwig Broecker

Publication date: 9 April 2003

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1005248711077

zbMATH Keywords

integral geometrykinematic formulasgeneralized Gauss-Bonnet formulatame stratifications

Mathematics Subject Classification ID

Integral geometry (53C65) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Stratifications in topological manifolds (57N80)

Related Items (24)

Integral Geometric Regularity ⋮ Gaussian processes, kinematic formulae and Poincaré's limit ⋮ On the total curvatures of a tame function ⋮ Euler obstruction and Lipschitz-Killing curvatures ⋮ Euler obstruction, Brasselet number and critical points ⋮ Lipschitz-Killing curvatures and polar images ⋮ Normal cycles of Lipschitz manifolds by approximation with parallel sets. ⋮ A Gauss–Bonnet formula for closed semi-algebraic sets ⋮ Euler characteristic and Lipschitz-Killing curvatures of closed semi-algebraic sets ⋮ Whitney stratifications and the continuity of local Lipschitz–Killing curvatures ⋮ Intrinsic curvatures in analytic-geometric categories ⋮ Kinematic formula for heterogeneous Gaussian related fields ⋮ On the topology of semi-algebraic functions on closed semi-algebraic sets ⋮ On the normal cycles of subanalytic sets ⋮ Absolute continuity for curvature measures of convex sets. III ⋮ Curvature tensors of singular spaces ⋮ Schubert calculus on the Grassmannian of Hermitian Lagrangian spaces ⋮ Tame flows ⋮ The normal cycle of a compact definable set ⋮ Euler integration over definable functions ⋮ Semi-algebraic neighborhoods of closed semi-algebraic sets ⋮ Odd Pfaffian forms ⋮ Stratified critical points on the real Milnor fibre and integral-geometric formulas ⋮ Principal kinematic formulas for germs of closed definable sets

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