Metricas de Einstein e estruturas Hermitianas invariantes em variedades bandeira / Einstein metrics and invariant Hermitian structures on flag manifolds
AUTOR(ES)
Neiton Pereira da Silva
DATA DE PUBLICAÇÃO
2009
RESUMO
In this work we and all the invariant Einstein metrics on four families of ag manifolds of type Bl and Cl. Our results are consistent with the finiteness conjecture of Einstein metrics proposed by Wang and Ziller. Our approach for solving the Einstein equations is based on the symmetries of the algebraic system. We obtain the Einstein algebraic systems for the generalized ag manifolds of type Bl, Cl and G2. These systems are necessary and sufficient conditions for invariant metrics on these manifolds to be Einstein. The algebraic systems that we obtained generalize the Einstein equations obtained by Sakane in the maximal cases. The equations in the cases Al and Dl were obtained by Arvanitoyeorgos. We calculate all the t-roots on the generalized ag manifolds of the classical Lie groups. Thus we extend to these manifolds certain results on invariant structures Hermitian obtained by San Martin, Cohen and Negreiros
ASSUNTO(S)
espaços homogeneos lie homogeneous spaces grupos semi-simples einstein manifolds variedades complexas complex manifolds semi-simple lie groups variedades de einstein
