SANTOS, F. R.; http://lattes.cnpq.br/6281772137862091; SANTOS, Fábio Reis dos.
Resumo:
In this work we develop Minkowski-type formulae for compact spacelike immersed
hypersurfaces with boundary and having some constant higher order mean curvature
in de Sitter space S n+11. We apply them to establish a relation between the mean
curvature and the geometry of the boundary, when it is a geodesic sphere contained
into a horizontal hyperplane of the Steady State space Hn+1 ⊂ S n+1 1.
.