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Preprints, Working Papers, ... Year : 2021

Hyperbolic energy and Maskit gluings

Abstract

We derive a formula for the energy of asymptotically locally hyperbolic (ALH) manifolds obtained by a gluing at infinity of two ALH manifolds. As an application we show that there exist three dimensional conformally compact ALH manifolds without boundary, with connected conformal infinity of higher genus, with constant negative scalar curvature and with negative mass.

Dates and versions

hal-03462867 , version 1 (02-12-2021)

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Piotr T. Chruściel, Erwann Delay, Raphaela Wutte. Hyperbolic energy and Maskit gluings. 2021. ⟨hal-03462867⟩
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