147 citations · 386 across the 24 of their papers we have counts for
24 papers
Gravitational Instantons, Weyl Curvature, and Conformally Kaehler Geometry
Olivier Biquard, Paul Gauduchon, Claude LeBrun
In a previous paper, the first two authors classified complete Ricci-flat ALF Riemannian 4-manifolds that are toric and Hermitian, but non-Kaehler. In this article, we consider gen…
About a Family of ALF Instantons with Conical Singularities
Olivier Biquard, Paul Gauduchon
We apply the techniques developed in our previous article to describe some interesting families of ALF gravitational instantons with conical singularities. In particular, we comple…
On toric Hermitian ALF gravitational instantons
Olivier Biquard, Paul Gauduchon
We give a classification of toric, Hermitian, Ricci flat, ALF Riemannian metrics in dimension 4, including metrics with conical singularities. The only smooth examples are on one h…
Non-existence of orthogonal coordinates on the complex and quaternionic projective spaces
Paul Gauduchon, Andrei Moroianu
DeTurck and Yang have shown that in the neighbourhood of every point of a -dimensional Riemannian manifold, there exists a system of orthogonal coordinates (that is, whith respe…
Levi-Kahler reduction of CR structures, products of spheres, and toric geometry
Vestislav Apostolov, David M J Calderbank, Paul Gauduchon +1
We study CR geometry in arbitrary codimension, and introduce a process, which we call the Levi-Kahler quotient, for constructing Kahler metrics from CR structures with a transverse…
Toric contact geometry in arbitrary codimension
Vestislav Apostolov, David M J Calderbank, Paul Gauduchon +1
We define toric contact manifolds in arbitrary codimension and give a description of such manifolds in terms of a kind of labelled polytope embedded into a grassmannian, analogous…