%0 Journal Article
%T Homogeneous Einstein metrics on the generalized flag manifold Sp(n)/(U(p) x U(n-p))
%A Andreas Arvanitoyeorgos
%A Ioannis Chrysikos
%A Yusuke Sakane
%J Mathematics
%D 2010
%I arXiv
%X We find the precise number of non-K\"ahler $Sp(n)$-invariant Einstein metrics on the generalized flag manifold $M=Sp(n)/(U(p)\times U(n-p))$ with $n\geq 3$ and $1\leq p\leq n-1$. We use an analysis on parametric systems of polynomial equations and we give some insight towards the study of such systems.
%U http://arxiv.org/abs/1010.4472v1