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arXiv · 2003.07762

The Jang equation and the positive mass theorem in the asymptotically hyperbolic setting

Anna Sakovich
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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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Anna Sakovich. 2020-03-17. The Jang equation and the positive mass theorem in the asymptotically hyperbolic setting. https://doi.org/10.1007/s00220-021-04083-1

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