Integral geometry in constant curvature Lorentz spaces

DOI10.1007/s00229-005-0588-8zbMath1084.53062OpenAlexW2087942744MaRDI QIDQ811860

Gil Solanes, Eberhard Teufel

Publication date: 23 January 2006

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-005-0588-8

zbMATH Keywords

Crofton formulasLorentz spacesIntegral geometry

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Integral geometry (53C65) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (4)

Crofton formulas in pseudo-Riemannian space forms ⋮ Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms ⋮ Prescribing the Gauss curvature of convex bodies in hyperbolic space ⋮ The Fenchel-type inequality in the 3-dimensional Lorentz space and a Crofton formula

Cites Work

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• Crofton's and Poincaré's formulas in the Lorentzian plane
• A study of the action from kinematical integral geometry point of view
• Variational properties of functions of the mean curvatures for hypersurfaces in space forms
• Support functions and integral formulas in the Lorentzian plane
• Integral geometry and projection formulas in spaces of constant curvature
• A generalization of the isoperimetric inequality
• Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces

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