• Corpus ID: 232014635

Spacetime Harmonic Functions and Applications to Mass

@inproceedings{Bray2021SpacetimeHF,
  title={Spacetime Harmonic Functions and Applications to Mass},
  author={Hubert L. Bray and Sven Hirsch and Demetre Kazaras and Marcus A. Khuri and Yiyue Zhang},
  year={2021}
}
In the pioneering work of Stern [73], level sets of harmonic functions have been shown to be an effective tool in the study of scalar curvature in dimension 3. Generalizations of this idea, utilizing level sets of so called spacetime harmonic functions as well as other elliptic equations, are similarly effective in treating geometric inequalities involving the ADM mass. In this paper, we survey recent results in this context, focusing on applications of spacetime harmonic functions to the… 
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