Gauss-Bonnet formulae and rotational integrals in constant curvature spaces

DOI10.1016/j.difgeo.2016.11.005zbMath1356.53073OpenAlexW2559196648WikidataQ115355584 ScholiaQ115355584MaRDI QIDQ730463

S. Barahona, Ximo Gual-Arnau

Publication date: 28 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2016.11.005

zbMATH Keywords

Gauss-Bonnet formulaspace formintrinsic volumeintegral of mean curvaturerotational integral formulas

Mathematics Subject Classification ID

Integral geometry (53C65)

Related Items (1)

Geometric integral formulas of cylinders within slabs

Cites Work

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• New rotational integrals in space forms, with an application to surface area estimation.
• The invariator principle in convex geometry
• 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
• Generic projections
• THE INVARIATOR DESIGN: AN UPDATE
• Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces

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