English

Invariant Generalized Complex Structures on Partial Flag Manifolds

Differential Geometry 2023-04-20 v1

Abstract

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

Keywords

Cite

@article{arxiv.1910.04598,
  title  = {Invariant Generalized Complex Structures on Partial Flag Manifolds},
  author = {Carlos A. B. Varea},
  journal= {arXiv preprint arXiv:1910.04598},
  year   = {2023}
}
R2 v1 2026-06-23T11:39:50.565Z