On Jang's equation and the Positive Mass Theorem for asymptotically hyperbolic initial data sets with dimensions above three and below eight
Differential Geometry
2023-09-21 v1 General Relativity and Quantum Cosmology
Analysis of PDEs
Abstract
We solve the Jang equation with respect to asymptotically hyperbolic "hyperboloidal" initial data in dimensions n = 4, 5, 6, 7. This gives a non-spinor proof of the positive mass theorem in the asymptotically hyperbolic setting in these dimensions. Our work extends an earlier result of [Sak21] obtained in dimension n = 3.
Keywords
Cite
@article{arxiv.2309.11330,
title = {On Jang's equation and the Positive Mass Theorem for asymptotically hyperbolic initial data sets with dimensions above three and below eight},
author = {David Lundberg},
journal= {arXiv preprint arXiv:2309.11330},
year = {2023}
}
Comments
Thesis version of 110 pages. Comments welcome!