78 citations · 449 across the 34 of their papers we have counts for
5 papers · 1 filter
On the total mass of asymptotically hyperbolic manifolds
Hamed Barzegar, Piotr T. Chruściel, Luc Nguyen
Generalising a proof by Bartnik in the asymptotically Euclidean case, we give an elementary proof of positivity of the hyperbolic mass near the hyperbolic space. It is a pleasure t…
Uniqueness of degree-one Ginzburg-Landau vortex in the unit ball in dimensions
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
For , we consider the Ginzburg-Landau functional for -valued maps defined in the unit ball with the vortex boundary data on $\partial…
Existence and uniqueness to a fully non-linear version of the Loewner-Nirenberg problem
Maria del Mar González, YanYan Li, Luc Nguyen
We consider the problem of finding on a given Euclidean domain of dimension a complete conformally flat metric whose Schouten curvature satisfies some equation o…
Asymptotically flat Einstein-Maxwell fields are inheriting
Piotr T. Chrusciel, Luc Nguyen, Paul Tod +1
We prove that Maxwell fields of asymptotically flat solutions of the Einstein-Maxwell equations inherit the stationarity of the metric.
On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds
Piotr T. Chruściel, Gregory J. Galloway, Luc Nguyen +1
We prove positivity of energy for a class of asymptotically locally hyperbolic manifolds in dimensions . The result is established by first proving deformation-of-mas…