3 papers
gr-qc2026
The Spacetime Positive Mass Theorem with Multiple Time Dimensions
Sven Hirsch, Alec Payne, Yiyue Zhang
We generalize the spacetime positive mass theorem to include multiple time dimensions. In particular, we show that the mass remains nonnegative in the sense that the energy is…
math.DG2025
A parabolic flow for the large volume heterotic system
Mario Garcia-Fernandez, Andres J. Moreno, Alec Payne +1
We introduce a geometric flow of conformally coclosed -structures, whose fixed points are large volume solutions of the heterotic system, with vanishing scalar torsion c…
math.DG2025
An Intersection Principle for Mean Curvature Flow
Tang-Kai Lee, Alec Payne
The avoidance principle says that mean curvature flows of hypersurfaces remain disjoint if they are disjoint at the initial time. We prove several generalizations of the avoidance…