2 papers
math.DG2023
Positive mass and Dirac operators on weighted manifolds and smooth metric measure spaces
Michael B. Law, Isaac M. Lopez, Daniel Santiago
We establish a weighted positive mass theorem which unifies and generalizes results of Baldauf--Ozuch and Chu--Zhu. Our result is in fact equivalent to the usual positive mass theo…
math.DG2022
Families of degenerating Poincaré-Einstein metrics on
Carlos A. Alvarado, Tristan Ozuch, Daniel A. Santiago
We provide the first example of continuous families of Poincaré-Einstein metrics developing cusps on the trivial topology . We also exhibit families of metrics with u…