Bihermitian Geometry and the Holomorphic Sections of Twistor Space

Abstract

In this paper, we construct tools from the holomorphic twistor spaces that we introduced in \cite{Gindi1} to derive results about the complex geometries of their base manifolds. In particular, we develop a new approach to studying generalized Kahler manifolds that leads to insights into their real and holomorphic Poisson structures.

Improved section on bihermitian manifolds

References in corpus (2)

• Hodge theory and deformations of SKT manifolds
• Representation Theory of the Algebra Generated By a Pair of Complex Structures

Cited by in corpus (1)

• Algebroids and Twistor Spaces