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The Jang equation and the positive mass theorem in the asymptotically hyperbolic setting (2003.07762v2)

Published 17 Mar 2020 in math.DG, gr-qc, and math.AP

Abstract: We solve the Jang equation with respect to asymptotically hyperbolic "hyperboloidal" initial data. The results are applied to give a non-spinor proof of the positive mass theorem in the asymptotically hyperbolic setting. This work focuses on the case when the spatial dimension is equal to three.

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