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arXiv · 1807.10920

Cohomogeneity-One Quasi-Einstein Metrics

Timothy Buttsworth
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Abstract

Let $G/H$ be a connected, simply connected homogeneous space of a compact Lie group $G$. We study $G$-invariant quasi-Einstein metrics on the cohomogeneity one manifold $G/H\times (0,1)$ imposing the so-called monotypic condition on $G/H$. We obtain estimates on the rate of blow-up for these metrics near a singularity under a mild assumption on $G/H$. Next, we demonstrate that we can find quasi-Einstein metrics satisfying arbitrary $G$-invariant Dirichlet conditions.

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Timothy Buttsworth. 2018-07-28. Cohomogeneity-One Quasi-Einstein Metrics. https://arxiv.org/abs/1807.10920

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