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Asymptotically hyperbolic metrics on the unit ball with horizons

Yuguang Shi·Luen-Fai Tam
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Abstract

In this paper, we construct a family of asymptotically hyperbolic manifolds with horizons and with scalar curvature equal to -6. The manifolds we constructed can be arbitrary close to anti-de Sitter-Schwarzschild manifolds at infinity. Hence, the mass of our manifolds can be very large or very small. The main arguments we used in this paper is gluing methods which was used in \cite{M}.

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Yuguang Shi, Luen-Fai Tam. 2006-05-30. Asymptotically hyperbolic metrics on the unit ball with horizons. https://arxiv.org/abs/math/0605749

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