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Title in Portuguese: Spacelike hypersurfaces with constant mean curvature in the steady state space
Author: Colares, Antônio Gervásio
Lima, Henrique Fernandes de
Keywords: Curvatura
Issue Date: 2010
Citation: COLARES, A. G. ; LIMA, H. F. (2010)
Abstract: In this paper we obtain height estimates concerning to a compact spacelike hypersurface Sn immersedwith constant mean curvature H in the Steady State space Hn+1, when its boundary is contained into some hyperplane of this spacetime. As a first application of these results, when Sn has spherical boundary, we establish relations between its height and the radius of its boundary. Moreover, under a certain restriction on the Gauss map of Sn, we obtain a sharp estimate for H. Finally, we also apply our estimates to describe the end of a complete spacelike hypersurface and to get theorems of characterization concerning to spacelike hyperplanes in Hn+1.
Description: COLARES, Antônio Gervásio ; LIMA, Henrique Fernandes de. Spacelike hypersurfaces with constant mean curvature in the steady state space. Bulletin of the Belgian Mathematical Society Simon Stevin, v. 17, p. 287-302, 2010.
Appears in Collections:DMAT - Artigos publicados em revista científica

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