Geometric integral formulas of cylinders within slabs

DOI10.1016/j.difgeo.2023.102066OpenAlexW4387703220MaRDI QIDQ6123243

Ximo Gual-Arnau

Publication date: 4 March 2024

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2023.102066

zbMATH Keywords

Euler-characteristicintegrals of mean curvaturepseudo-rotational integrals

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Integral geometry (53C65)

Cites Work

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• Gauss-Bonnet formulae and rotational integrals in constant curvature spaces
• Expressing intrinsic volumes as rotational integrals
• A new expression for the density of totally geodesic submanifolds in space forms, with stereological applications
• A new rotational integral formula for intrinsic volumes in space forms
• Rotational Integral Geometry and Local Stereology - with a View to Image Analysis
• Local Stereology
• On estimation of the Euler number by projections of thin slabs

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