A harmonic level set proof of a positive mass theorem

Batista, Rondinelle; de Lima, Levi

doi:10.1090/proc/17192

A harmonic level set proof of a positive mass theorem
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by Rondinelle Marcolino Batista and Levi Lopes de Lima;

Proc. Amer. Math. Soc. 153 (2025), 1761-1770

DOI: https://doi.org/10.1090/proc/17192

Published electronically: February 12, 2025

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Abstract:

We provide a harmonic level set proof (along the lines of the argument by Bray et al [J. Geom. Anal. 32 (2022), p. 29]) of the positive mass theorem for asymptotically flat $3$-manifolds with a non-compact boundary first established by Almaraz-Barbosa-de Lima [Comm. Anal. Geom. 24 (2016), pp. 673–715].

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