English

A spinorial quasilocal mass

Differential Geometry 2023-12-05 v4 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.2212.09619,
  title  = {A spinorial quasilocal mass},
  author = {John Lott},
  journal= {arXiv preprint arXiv:2212.09619},
  year   = {2023}
}

Comments

Final version

R2 v1 2026-06-28T07:42:39.489Z