8 citations · 10 across the 4 of their papers we have counts for
5 papers · 1 filter
Hypersurfaces of nearly Kahler twistor spaces
G. Deschamps, E. Loubeau
In this article, we show that a hypersurface of the nearly Kahler or cannot have its shape operator and induced almost contact structure commute together. This set…
Harmonic maps and twistorial structures
G. Deschamps, E. Loubeau, R. Pantilie
We introduce the notion of Riemannian twistorial structure and we show that it provides new natural constructions of harmonic maps.
Twistor space of a generalized quaternionic manifold
Guillaume Deschamps
We first make a little survey of the twistor theory for hypercomplex, generalized hypercomplex, quaternionic or generalized quaternionic manifolds. This last theory was iniated by…
Hessian of the natural Hermitian form on twistor spaces
Guillaume Deschamps, Noël Le Du, Christophe Mourougane
We compute the hessian of the natural Hermitian form successively on the Calabi family of a hyperkähler manifold, on the twistor space of a 4-dimensional anti-self-dual Riemannian…
Compatible Complex Structures on Twistor Spaces
Guillaume Deschamps
Let (M,g) be a Riemannian 4-manifold. The twistor space Z->M is a CP1-bundle whose total space Z admits a natural metric h. The aim of this article is to study properties of comple…