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Integral geometry of equidistants in hyperbolic space

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Publication:1775476
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DOI10.1007/BF02786694zbMath1072.53024MaRDI QIDQ1775476

Gil Solanes

Publication date: 3 May 2005

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


zbMATH Keywords

Euler characteristicintersectionsmoving totally umbilic hypersurfacetotal mean curvatures


Mathematics Subject Classification ID

Integral geometry (53C65)


Related Items (4)

Kinematic formulas of total mean curvatures for hypersurfaces ⋮ Prescribing the Gauss curvature of convex bodies in hyperbolic space ⋮ Bulk reconstruction in AdS and Gel'fand-Graev-Radon transform ⋮ Width of convex bodies in spaces of constant curvature



Cites Work

  • Asymptotic behaviour of \(\lambda\)-convex sets in the hyperbolic plane
  • Horospheres and convex bodies in \(n\)-dimensional hyperbolic space
  • Integral geometry and projection formulas in spaces of constant curvature
  • Horocycles and convex sets in hyperbolic plane
  • Polar Varieties and Integral Geometry
  • Horospheres and Convex Bodies in Hyperbolic Space
  • Unnamed Item
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