A new expression for the density of totally geodesic submanifolds in space forms, with stereological applications

DOI10.1016/j.difgeo.2008.06.013zbMath1168.53039OpenAlexW2028848459WikidataQ115357457 ScholiaQ115357457MaRDI QIDQ1002009

J. Martínez

Publication date: 20 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2008.06.013

zbMATH Keywords

submanifoldstereologyconvex bodyintegral geometryspace formsupport setSantaló's sectioning formula

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Integral geometry (53C65) Spherical and hyperbolic convexity (52A55)

Related Items (7)

New rotational integrals in space forms, with an application to surface area estimation. ⋮ The invariator principle in convex geometry ⋮ Geometric integral formulas of cylinders within slabs ⋮ Expressing intrinsic volumes as rotational integrals ⋮ A new rotational integral formula for intrinsic volumes in space forms ⋮ Gauss-Bonnet formulae and rotational integrals in constant curvature spaces ⋮ Measure of segments which intersect a convex body from rotational formulae

Cites Work

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• Integral geometry and geometric inequalities in hyperbolic space
• Integralgeometrie 3. Croftons Formeln für den Raum
• Measuring the surface area of a convex body
• Local Stereology

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