PreprintarXiv licencearXiv
Positive mass theorems for singular asymptotically hyperbolic manifolds
Abstract
Through a careful analysis of the Yamabe equation on singular spaces, we establish a positive mass theorem for singular asymptotically hyperbolic manifolds with arbitrary ends. We also derive a rigidity result that is novel even in the smooth setting.
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BibTeX
@misc{shi2026positive,
title = {{Positive mass theorems for singular asymptotically hyperbolic manifolds}},
author = {Yuguang Shi and Chengzhang Sun and Zijun Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.01682},
eprint = {2608.01682},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.01682},
}
RIS
TY - UNPB
TI - Positive mass theorems for singular asymptotically hyperbolic manifolds
AU - Yuguang Shi
AU - Chengzhang Sun
AU - Zijun Wang
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2608.01682
UR - https://arxiv.org/abs/2608.01682
AB - Through a careful analysis of the Yamabe equation on singular spaces, we establish a positive mass theorem for singular asymptotically hyperbolic manifolds with arbitrary ends. We also derive a rigidity result that is novel even in the smooth setting.
ER -