40 citations · 42 across the 8 of their papers we have counts for
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math.DG2022★ 1 cited
Rigidity of non-compact static domains in hyperbolic space via positive mass theorems
Sergio Almaraz, Levi Lopes de Lima
We single out a notion of staticity which applies to any domain in hyperbolic space whose boundary is a non-compact totally umbilical hypersurface. For (time-symmetric) initial dat…
math.AP2022
Energy bounds of sign-changing solutions to Yamabe equations on manifolds with boundary
Sergio Almaraz, Shaodong Wang
We study the Yamabe equation in the Euclidean half-space. We prove that any sign-changing solution has at least twice the energy of a standard bubble. Moreover, a sharper energy lo…
math.DG2022
A singular Yamabe problem on manifolds with solid cones
Juan Alcon Apaza, Sergio Almaraz
We study the existence of conformal metrics on non-compact Riemannian manifolds with non-compact boundary, which are complete as metric spaces and have negative constant scalar cur…