• closedAccess   A new rotational integral formula for intrinsic volumes in space forms 

      Gual-Arnau, Ximo; Cruz-Orive, Luis M.; Nuño Ballesteros, J. J. Elsevier (2010)
      A new rotational version of Crofton's formula is derived for the intrinsic volumes of a domain Y in a space form. More precisely, a functional is defined on the intersection between Y and a totally geodesic submanifold ...
    • openAccess   Gauss-Bonnet formulae and rotational integrals in constant curvature spaces 

      Barahona, S.; Gual-Arnau, Ximo Elsevier (2017-02)
      We obtain generalizations of the main result in [10], and then provide geometric interpretations of linear combinations of the mean curvature integrals that appear in the Gauss–Bonnet formula for hypersurfaces in space ...