2 papers
math.DG2026
On the spacetime positive energy theorem in arbitrary dimension
S. Brendle, Y. Wang
We describe how the spacetime positive energy theorem in dimension follows from our recent work on the Riemannian version of the positive mass theorem. Our proof builds…
math.DG2026
Geometric inequalities and the Alexandrov-Bakelman-Pucci technique
S. Brendle
In this expository paper, we discuss a unified framework for proving various geometric inequalities, based on the so-called Alexandrov-Bakelman-Pucci technique. Examples include Ca…