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arXiv · 1801.04474

An invariant related to the existence of conformally compact Einstein fillings

Matthew J. Gursky·Qing Han·Stephan Stolz
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Abstract

We define an invariant for compact spin manifolds $X$ of dimension $4k$ equipped with a metric $h$ of positive Yamabe invariant on its boundary. The vanishing of this invariant is a necessary condition for the conformal class of $h$ to be the conformal infinity of a conformally compact Einstein metric on $X$.

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Matthew J. Gursky, Qing Han, Stephan Stolz. 2018-01-13. An invariant related to the existence of conformally compact Einstein fillings. https://arxiv.org/abs/1801.04474

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