45 citations · 138 across the 21 of their papers we have counts for
24 papers
Degenerating conic Kähler-Einstein metrics to the normal cone
Olivier Biquard, Henri Guenancia
Let be a Fano manifold of dimension at least and be a smooth divisor in a multiple of the anticanonical class, with . It is well-known that Kähler-…
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…
Instability of conformally Kähler, Einstein metrics
Olivier Biquard, Tristan Ozuch
We prove the instability of conformally Kähler, compact or ALF Einstein 4-manifolds with nonnegative scalar curvature which are not half conformally flat. This applies to all the k…
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…
Degenerating Kähler-Einstein cones, locally symmetric cusps, and the Tian-Yau metric
Olivier Biquard, Henri Guenancia
Let be a complex projective manifold and let be a smooth divisor. In this article, we are interested in studying limits when of Kähler-Einstein metrics $ω…