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arXiv · 1010.4472

Homogeneous Einstein metrics on the generalized flag manifold Sp(n)/(U(p) x U(n-p))

Andreas Arvanitoyeorgos·Ioannis Chrysikos·Yusuke Sakane
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Abstract

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.

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Andreas Arvanitoyeorgos, Ioannis Chrysikos, Yusuke Sakane. 2010-10-21. Homogeneous Einstein metrics on the generalized flag manifold Sp(n)/(U(p) x U(n-p)). https://arxiv.org/abs/1010.4472

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