Journal of Mathematical Sciences: Advances and Applications
Author's: Henrique Fernandes De Lima
Pages: [133] - [148]
Received Date: May 6, 2010
Submitted by:
In this paper, by applying the technique developed by Rosenberg in
[11] to establish sharp height estimates in Riemannian space forms, we
obtain a Xin-Aiyama type theorem concerning complete space-like
hypersurfaces immersed with constant mean curvature in the Lorentzian
product space
In particular, we treat the case when the
spacelike hypersurface is a vertical graph in such spacetime.
Lorentzian product space, spacelike hypersurface, mean curvature, vertical graphs.
