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arXiv · 1506.00313

An Abstract Morimoto Theorem for Generalized $F$-structures

Marco Aldi·Daniele Grandini
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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.

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Marco Aldi, Daniele Grandini. 2015-06-01. An Abstract Morimoto Theorem for Generalized $F$-structures. https://doi.org/10.1093/qmath/haw004

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