M. Gursky

collaborators

3 papers

math.DG2026

Renormalized area of minimal surfaces in hyperbolic space

Matthew J. Gursky, Khoi Nguyen, Aaron J. Tyrrell

In this paper we consider minimal surfaces in hyperbolic space of arbitrary codimension that are critical for renormalized area. We give two criteria which imply that $Y$ must be a…

math.DG2026

Admissibility, Topology, and the $I ¨ _{k}$ -Loewner--Nirenberg problem

Hao Fang, Matthew J. Gursky

The $I ¨ _{k}$ -Loewner--Nirenberg problem is a fully nonlinear generalization of the classical Loewner--Nirenberg problem of constructing complete conformal metrics with constant negat…

math.DG2025

Mass and volume of four-dimensional Einstein metrics

Matthew Gursky, Andrea Malchiodi

Let $(M^{4}, g ˉ)$ be an Einstein manifold, where $M^{4}$ is a smooth, closed, oriented four-manifold $M^{4}$ and $g ˉ$ has positive Einstein constant. Given a point $0 \in M^{4}$ ,…

Renormalized area of minimal surfaces in hyperbolic space

Admissibility, Topology, and the I¨k​-Loewner--Nirenberg problem

Mass and volume of four-dimensional Einstein metrics

Admissibility, Topology, and the $I ¨ _{k}$ -Loewner--Nirenberg problem