Normal cycles of Lipschitz manifolds by approximation with parallel sets.

DOI10.1016/S0926-2245(03)00020-2zbMath1042.53053OpenAlexW2086781470WikidataQ115338036 ScholiaQ115338036MaRDI QIDQ1405279

Martina Zähle, Jan Rataj

Publication date: 25 August 2003

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(03)00020-2

zbMATH Keywords

Gauss-Bonnet formulacurvature measurenormal cycleLipschitz manifoldprincipal kinematic formula

Mathematics Subject Classification ID

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

Related Items (18)

Minkowski content and fractal curvatures of self-similar tilings and generator formulas for self-similar sets ⋮ General normal cycles and Lipschitz manifolds of bounded curvature ⋮ 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 ⋮ Geometric properties of the heat content ⋮ The Steiner formula for Minkowski valuations ⋮ Inference of Curvature Using Tubular Neighborhoods ⋮ A derivative for complex Lipschitz maps with generalised Cauchy-Riemann equations ⋮ Lipschitz-Killing curvatures of self-similar random fractals ⋮ On estimation of the Euler number by projections of thin slabs ⋮ Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators ⋮ Approximations of the Wiener sausage and its curvature measures ⋮ On the expected surface area of the Wiener sausage ⋮ Odd Pfaffian forms ⋮ Image analysis for microstructures based on stochastic models ⋮ Legendrian cycles and curvatures

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