On the existence and properties of solutions of the generalized Jang equation with respect to asymptotically anti-de Sitter initial data (2409.18076v1)

Published 26 Sep 2024 in math.DG, gr-qc, and math.AP

Abstract: We provide a rigorous analysis of the generalized Jang equation in the asymptotically anti-de Sitter setting modelled on constant time slices of anti-de Sitter spacetimes in dimensions $3\leq n \leq 7$ for a very general class of asymptotics. Potential applications to spacetime positive mass theorems for asymptotically anti-de Sitter initial data sets are discussed.

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Authors (1)

Benjamin Meco

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