An Abstract Morimoto Theorem for Generalized $F$-structures

Abstract

We abstract Morimoto's construction of complex structures on product manifolds to pairs of certain generalized $F$-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.

26 pages

References in corpus (1)

• Generalized CoKähler Geometry and an Application to Generalized Kähler Structures

Cited by in corpus (3)

• Generalized Almost Product Structures and Generalized CRF-structures
• Polynomial Structures in Generalized Geometry
• On hypersurfaces of generalized Kähler manifolds