New rotational integrals in space forms, with an application to surface area estimation.

DOI10.1007/s10492-016-0143-9zbMath1488.53204OpenAlexW2498173094MaRDI QIDQ331323

Ximo Gual-Arnau, Luis M. Cruz-Orive

Publication date: 26 October 2016

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10234/163609

zbMATH Keywords

critical pointheight functioninvariator principlelocal stereologyrotational formulaesubmanifold in space formssurface area estimation

Mathematics Subject Classification ID

Global submanifolds (53C40) Integral geometry (53C65)

Related Items (1)

Gauss-Bonnet formulae and rotational integrals in constant curvature spaces

Cites Work

• The invariator principle in convex geometry
• Curvatures, volumes and norms of derivatives for curves in Riemannian manifolds
• 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
• Integralgeometrie. VI. Zusammenhänge zwischen den Dichten der linearen Unterräume im \(n\)-dimensionalen Raum
• Stochastic and Integral Geometry

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