A spinorial quasilocal mass

John Lott

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arXiv · 2212.09619

A spinorial quasilocal mass

John Lott

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Abstract

We define a quasilocal energy of a compact manifold-with-boundary, relative to a background manifold. The construction uses spinors on one manifold and the pullback of dual spinors from the other manifold. We prove positivity results for the quasilocal energy, in both the Riemannian and Lorentzian settings.

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John Lott. 2022-12-19. A spinorial quasilocal mass. https://arxiv.org/abs/2212.09619

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