Listar por tema "Space form"
Mostrando ítems 1-3 de 3
-
A new expression for the density of totally geodesic submanifolds in space forms, with stereological applications
Elsevier (2009)Integral section formulae for totally geodesic submanifolds (planes) intersecting a compact submanifold in a space form are available from appropriate representations of the motion invariant density (measure) of these ... -
A new rotational integral formula for intrinsic volumes in space forms
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 ... -
Gauss-Bonnet formulae and rotational integrals in constant curvature spaces
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 ...