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arXiv · 1407.0673

A positive mass theorem for asymptotically flat manifolds with a non-compact boundary

Sergio Almaraz·Ezequiel Barbosa·Levi Lopes de Lima
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Abstract

We prove a positive mass theorem for $n$-dimensional asymptotically flat manifolds with a non-compact boundary if either $3\leq n\leq 7$ or if $n\geq 3$ and the manifold is spin. This settles, for this class of manifolds, a question posed in a recent paper by the first author in connection with the long-term behavior of a certain Yamabe-type flow on scalar-flat compact manifolds with boundary.

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Sergio Almaraz, Ezequiel Barbosa, Levi Lopes de Lima. 2014-07-02. A positive mass theorem for asymptotically flat manifolds with a non-compact boundary. https://arxiv.org/abs/1407.0673

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