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math.DG2021
Hyperbolic energy and Maskit gluings
Piotr T. Chruściel, Erwann Delay, Raphaela Wutte
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…
math.DG2015
Exotic hyperbolic gluings
P. T. Chruściel, E. Delay
We carry out "exotic gluings" a la Carlotto-Schoen for asymptotically hyperbolic general relativistic initial data sets. In particular we obtain a direct construction of non-trivia…