Positive mass theorem and free boundary minimal surfaces

Xiaoxiang Chai

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arXiv · 1811.06254

Positive mass theorem and free boundary minimal surfaces

Xiaoxiang Chai

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Abstract

Built on a recent work of Almaraz, Barbosa, de Lima on positive mass theorems on asymptotically flat manifods with a noncompact boundary, we apply free boundary minimal surface techniques to prove their positive mass theorem and study the existence of positive scalar curvature metrics with mean convex boundary on a connected sum of the form $(\mathbb{T}^{n-1}\times[0,1])\#M_0$.

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Xiaoxiang Chai. 2018-11-15. Positive mass theorem and free boundary minimal surfaces. https://arxiv.org/abs/1811.06254

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