paper

Positive mass theorems for singular asymptotically hyperbolic manifolds

arXiv:2608.01682

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.

57 pages, 5 figures. Fix some typos and improve exposition and some proofs. All comments are welcome!