45 citations · 74 across the 7 of their papers we have counts for
8 papers
On complete stationary vacuum initial data
Julien Cortier, Vincent Minerbe
We describe a proof of M.T. Anderson's result on the rigidity of complete stationary initial data for the Einstein vacuum equations in spacetime dimension 3 + 1, under an extra ass…
A Kummer construction for gravitational instantons
Olivier Biquard, Vincent Minerbe
We give a simple and uniform construction of essentially all known deformation classes of gravitational instantons with ALF, ALG or ALH asymptotics and nonzero injectivity radius.…
A mass for asymptotically complex hyperbolic manifolds
Vincent Minerbe, Daniel Maerten
We prove a positive mass theorem for complete Kähler manifolds that are asymptotic to the complex hyperbolic space.
Rigidity for Multi-Taub-NUT metrics
Vincent Minerbe
This paper provides a classification result for gravitational instantons with cubic volume growth and cyclic fundamental group at infinity. It proves that a complete hyperkähler ma…
A mass for ALF manifolds
Vincent Minerbe
We prove positive mass theorems on ALF manifolds, i.e. complete noncompact manifolds that are asymptotic to a circle fibration over a Euclidean base, with fibers of asymptotically…
Global rigidity in CR geometry: the Schoen-Webster theorem
Benoît Kloeckner, Vincent Minerbe
Schoen-Webster theorem asserts a pseudoconvex CR manifold whose automorphism group acts non properly is either the standard sphere or the Heisenberg space. The purpose of this pape…