Twistor spaces of non-flat Bochner-K\"ahler manifolds

TL;DR

This paper constructs holomorphic coordinates on twistor spaces of non-flat Bochner-Kähler manifolds and describes their deformation moduli spaces explicitly.

Contribution

It provides explicit holomorphic coordinate systems and a detailed description of the deformation space for twistor fibers of certain Bochner-Kähler manifolds.

Findings

Holomorphic coordinate systems are constructed for twistor spaces.

Explicit description of the moduli space of fiber deformations.

Application to non-flat Bochner-Kähler manifolds of the form H^l x P^n.

Abstract

For the twistor spaces of the Bochner-K\"ahler manifold $M = H^l \times P^n$, systems of holomorphic coordinates are constructed. As an application of them, an explicit description of the moduli space of relative deformations of fibers of $M$'s twistor space is given.