An invariant related to the existence of conformally compact Einstein fillings

Gursky, Matthew; Han, Qing; Stolz, Stephan

doi:10.1090/tran/8308

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An invariant related to the existence of conformally compact Einstein fillings

Authors: Matthew J. Gursky, Qing Han and Stephan Stolz
Journal: Trans. Amer. Math. Soc.
MSC (2020): Primary 53Z05
DOI: https://doi.org/10.1090/tran/8308
Published electronically: March 2, 2021
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Abstract: We define an invariant for compact spin manifolds of dimension equipped with a metric of positive Yamabe invariant on its boundary. The vanishing of this invariant is a necessary condition for the conformal class of to be the conformal infinity of a conformally compact Einstein metric on .

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