3 papers
math.DG2025
Stability and rigidity of axisymmetric marginally outer trapped two-spheres
Gregory J. Galloway, Abraão Mendes
In [7], H. Bray, S. Brendle, and A. Neves studied rigidity properties of area-minimizing two-spheres in Riemannian three-manifolds with uniformly positive scalar curvature. In [13]…
gr-qc2024
Aspects of the geometry and topology of expanding horizons
Gregory J. Galloway, Abraão Mendes
The aim of this paper is to extend some basic results about marginally outer trapped surfaces to the context of surfaces having general null expansion. Motivated in part by recent…
math.DG2024
Some rigidity results for charged initial data sets
Gregory J. Galloway, Abraão Mendes
In this note, we consider some initial data rigidity results concerning marginally outer trapped surfaces (MOTS). As is well known, MOTS play an important role in the theory of bla…