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20062014
most citedA Kummer construction for gravitational instantons

45 citations · 74 across the 7 of their papers we have counts for

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math.DG2010★ 45 cited

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.…

math.DG2009

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.

math.DG2009

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…

math.DG2008★ 23 cited

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…

math.DG2007

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…

math.DG2007★ 6 cited

On some asymptotically flat manifolds with non maximal volume growth

Vincent Minerbe

Asymptotically flat manifolds with Euclidean volume growth are known to be ALE. In this paper, we consider a class of asymptotically flat manifolds with slower volume growth and pr…