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Hipersuperfícies tipo-espaço com curvatura de ordem superior constante no Espaço de Sitter. / Space-type hypersurfaces with higher order curvature in the Sitter Space.SANTOS, Fábio Reis dos. 07 August 2018 (has links)
Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-08-07T21:04:25Z
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FÁBIO REIS DOS SANTOS - DISSERTAÇÃO PPGMAT 2013..pdf: 716996 bytes, checksum: 97f7fb742c257421cce66bdb68b5d76e (MD5) / Made available in DSpace on 2018-08-07T21:04:25Z (GMT). No. of bitstreams: 1
FÁBIO REIS DOS SANTOS - DISSERTAÇÃO PPGMAT 2013..pdf: 716996 bytes, checksum: 97f7fb742c257421cce66bdb68b5d76e (MD5)
Previous issue date: 2013-03 / Capes / Neste trabalho, desenvolvemos as Fórmulas Integrais tipo-Minkowski para hipersuperfícies tipo-espaço, compactas com bordo imersas no espaço de Sitter S
n+1 1 e possuindo alguma curvatura de ordem superior constante. Aplicamos estas, para estabelecer uma relação entre a curvatura média e a geometria do bordo quando se trata
de uma esfera geodésica contida em um hiperplano do Steady State space Hn+1 ⊂ S
n+1. / 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.
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