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arXiv · 1210.4693

A simple construction of generalized complex manifolds

Radu Pantilie
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Abstract

We construct a natural generalized complex structure on the total space of any bundle endowed with a Chern connection and whose typical fibre is a homogeneous symplectic manifold. This extends known constructions of generalized complex structures on Lie groups and leads to natural examples of holomorphic maps between generalized complex manifolds.

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Radu Pantilie. 2013-04-08. A simple construction of generalized complex manifolds. https://arxiv.org/abs/1210.4693

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