Variedades com curvatura prescrita : resultados de existÃncia, unicidade, rigidez e bifurcaÃÃo / Manifolds with prescribe curvature: results of existence uniqueness, rigidity and bifurcation

AUTOR(ES)
FONTE

IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia

DATA DE PUBLICAÇÃO

03/02/2012

RESUMO

We present several results of existence, uniqueness, rigidity and bifurcation for the problem of prescribing various geometric structures on Riemannian manifolds, among which include: i) deformation and rigidity for 2k-Einstein structures on manifolds with constant (2k − 2)-sectional curvature; ii) conformal deformation of metrics in the context of the Yamabe Problem for Gauss-Bonnet curvatures; iii) uniqueness, bifurcation and local rigidity in scope of the Yamabe Problem for symmetric functions of eigenvalues of the Schouten tensor.

ASSUNTO(S)

geometria diferencial formas duplas teoremas de rigidez problema de yamabe forms pairs rigidity theorems yamabe problem anÃlise global(matemÃtica) variedades riemanianas global analysys(mathematics) riemannian manifolds

ACESSO AO ARTIGO

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