Totally real submanifolds in a quaternion space form
In this paper, we prove a theorem for -dimensional totally real minimal submanifold immersed in quaternion space form.
Twisteurs des orbites coadjointes et métriques hyper-pseudokählériennes
Twisteurs et applications harmoniques en dimension 4
Twistor fibrations giving primitive harmonic maps of finite type.
Twistor forms on Kähler manifolds
Twistor forms are a natural generalization of conformal vector fields on riemannian manifolds. They are defined as sections in the kernel of a conformally invariant first order differential operator. We study twistor forms on compact Kähler manifolds and give a complete description up to special forms in the middle dimension. In particular, we show that they are closely related to hamiltonian 2-forms. This provides the first examples of compact Kähler manifolds with non–parallel twistor forms in...
Twistor transforms of quaternionic functions and orthogonal complex structures
The theory of slice-regular functions of a quaternion variable is applied to the study of orthogonal complex structures on domains of . When is a symmetric slice domain, the twistor transform of such a function is a holomorphic curve in the Klein quadric. The case in which is the complement of a parabola is studied in detail and described by a rational quartic surface in the twistor space .