3 papers
math.DG2026
Maximum capacity of Bartnik data and a generalization of static metrics
Jeffrey L. Jauregui
Inspired by R. Bartnik's mass minimization problem in general relativity, we investigate a dual problem of maximizing the capacity among asymptotically flat extensions (with nonneg…
math.DG2026
Semicontinuity of capacity under pointed intrinsic flat convergence
Jeffrey L. Jauregui, Raquel Perales, Jacobus W. Portegies
The concept of the capacity of a compact set in generalizes readily to noncompact Riemannian manifolds and, with more substantial work, to metric spaces (where multip…
math.DG2024
A note on Huisken's isoperimetric mass
Jeffrey L. Jauregui, Dan A. Lee, Ryan Unger
In this short note, we explain that Huisken's isoperimetric mass is always nonnegative for elementary reasons.