Mathematics > Differential Geometry
[Submitted on 19 Dec 2022 (v1), last revised 3 Dec 2023 (this version, v4)]
Title:A spinorial quasilocal mass
View PDFAbstract: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.
Submission history
From: John Lott [view email][v1] Mon, 19 Dec 2022 16:58:59 UTC (28 KB)
[v2] Tue, 3 Jan 2023 16:10:33 UTC (28 KB)
[v3] Fri, 14 Jul 2023 12:05:03 UTC (29 KB)
[v4] Sun, 3 Dec 2023 21:51:56 UTC (29 KB)
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