2012/10/17 by Radu Pantilie, Pantilie, Radu
Mathematics · #53C55 #53D18 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C55 #msc:53D18
paper · pdf · doi:10.48550/arxiv.1210.4693
4 pages, Proceedings of The Seventh Congress of Romanian Mathematicians, Brasov, Romania, 2011
arxiv created 2013/04/08 · arxiv updated 2013/04/09
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.