An Abstract Morimoto Theorem for Generalized $F$-structures (1506.00313v2)

Published 1 Jun 2015 in math.DG and math.SG

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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