English

An Abstract Morimoto Theorem for Generalized $F$-structures

Differential Geometry 2024-02-23 v2 Symplectic Geometry

Abstract

We abstract Morimoto's construction of complex structures on product manifolds to pairs of certain generalized FF-structures on manifolds that are not necessarily global products. As applications we characterize invariant generalized complex structures on product manifolds in which one factor is a Lie group and we generalize a theorem of Blair, Ludden and Yano on Hermitian bicontact manifolds.

Keywords

Cite

@article{arxiv.1506.00313,
  title  = {An Abstract Morimoto Theorem for Generalized $F$-structures},
  author = {Marco Aldi and Daniele Grandini},
  journal= {arXiv preprint arXiv:1506.00313},
  year   = {2024}
}

Comments

26 pages

R2 v1 2026-06-22T09:44:41.337Z