Invariant Generalized Complex Structures on Partial Flag Manifolds

Abstract

The aim of this paper is to classify all invariant generalized complex structure on a partial flag manifold ${\mathbb{F}}_{\Theta }$ with at most four isotropy summands. To classify them all we proved that an invariant generalized almost complex structure on ${\mathbb{F}}_{\Theta }$ is `constant' in each component of the isotropy representation.

References in corpus (3)

• Invariant Einstein metrics on flag manifolds with four isotropy summands
• Homogeneous Einstein metrics on generalized flag manifolds with five isotropy summands
• Invariant Generalized Complex Structures on Flag Manifolds

Cited by in corpus (1)

• Invariant generalized almost complex structures on real flag manifolds