General normal cycles and Lipschitz manifolds of bounded curvature

DOI10.1007/s10455-005-5218-xzbMath1146.53309OpenAlexW2023544833MaRDI QIDQ2386434

Jan Rataj, Martina Zähle

Publication date: 23 August 2005

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-005-5218-x

Mathematics Subject Classification ID

Integral geometry (53C65) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (15)

Tensor Valuations and Their Local Versions ⋮ Minkowski content and fractal curvatures of self-similar tilings and generator formulas for self-similar sets ⋮ Local tensor valuations ⋮ Curvature-direction measures of self-similar sets ⋮ Curvatures for unions of WDC sets ⋮ Mean Lipschitz-Killing curvatures for homogeneous random fractals ⋮ Scaling exponents of curvature measures ⋮ Inference of Curvature Using Tubular Neighborhoods ⋮ Normal cycles and curvature measures of sets with d.c. boundary ⋮ Lipschitz-Killing curvatures of self-similar random fractals ⋮ Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators ⋮ Estimation of fractal dimension and fractal curvatures from digital images ⋮ Facial structure of strongly convex sets generated by random samples ⋮ Stability Properties of Fractal Curvatures ⋮ Legendrian cycles and curvatures

Cites Work

• Manifolds with transverse fields in euclidean space
• Curvatures and currents for unions of sets with positive reach
• Parallelmengen mit Vielfachheit und Steiner-Formeln
• Normal cycles of Lipschitz manifolds by approximation with parallel sets.
• Intersections and Translative Integral Formulas for Boundaries of Convex Bodies
• Curvature Measures
• Optimization and nonsmooth analysis
• Curvature Measures of Subanalytic Sets
• Lipschitz–Killing Invariants
• Set-valued analysis
• Curvatures and currents for unions of sets with positive reach. II
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