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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.
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Contributor : Erwann Delay Connect in order to contact the contributor
Submitted on : Thursday, December 2, 2021 - 10:09:34 AM
Last modification on : Tuesday, February 22, 2022 - 11:36:04 AM

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  • HAL Id : hal-03462867, version 1
  • ARXIV : 2112.00095



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



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