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math.DG2025
Green functions and a positive mass theorem for asymptotically hyperbolic -manifolds
Klaus Kroencke, Francesca Oronzio, Alan Pinoy
We prove a new positive mass theorem for three-dimensional manifolds which are asymptotically hyperboloidal of order greater than . The mass quantity under consideration is the…
math.DG2025
Area, Volume and Capacity in non--compact --manifolds with non--negative scalar curvature
Francesca Oronzio
Let be a --dimensional, complete, one--ended Riemannian manifold, with a minimal, compact and connected boundary. We assume that has a simple topology and that the s…