Hypersurfaces with prescribed mean curvature in Riemannian manifolds / HipersuperfÃcies com curvatura mÃdia prescrita em variedades riemannianas

AUTOR(ES)
FONTE

IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia

DATA DE PUBLICAÇÃO

30/07/2010

RESUMO

This work shows results existence and uniqueness of graphs with prescribed mean curvature. We demonstrate that a natural fixation Dirichlet problem for graphs of average curvature is required to consider those graphs like leaves on a Riemannian submersion Killing transversal cylinder, the cylinder given by flow lines of a Killing vector field. Using this approach, we are able to solve the problem in a way more comprehensive, giving a unified proof and existence results.

ASSUNTO(S)

geometria diferencial dirichlet problem coordenadas (matemÃtica) cÃlculo das variaÃÃes dirichlet, problemas de calculus of variations coordinates

ACESSO AO ARTIGO

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