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math.DG2022
Mapping properties of geometric elliptic operators in conformally conical spaces: an introduction with examples
Levi Lopes de Lima
In this largely expository note, we discuss the mapping properties of the Laplacian (and other geometric elliptic operators) in spaces with an isolated conical singularity followin…
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…