The Dirichlet Problem for Einstein Metrics on Cohomogeneity One Manifolds

Timothy Buttsworth

Let $G/H$ be a compact homogeneous space, and let ${\hat{g}}_0$ and ${\hat{g}}_1$ be $G$-invariant Riemannian metrics on $G/H$. We consider the problem of finding a $G$-invariant Einst…