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arXiv · 1906.11341

Geometrically finite Poincar\'e-Einstein metrics

Eric Bahuaud·Frédéric Rochon
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Abstract

We construct new examples of Einstein metrics by perturbing the conformal infinity of geometrically finite hyperbolic metrics and by applying the inverse function theorem in suitable weighted H\"older spaces.

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Eric Bahuaud, Frédéric Rochon. 2019-06-26. Geometrically finite Poincar\'e-Einstein metrics. https://doi.org/10.1007/s00220-020-03713-4

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