%0 Journal Article
%T Generalized Complex Submanifolds
%A James Barton
%A Mathieu Stienon
%J Mathematics
%D 2006
%I arXiv
%R 10.2140/pjm.2008.236-1
%X We introduce the notion of twisted generalized complex submanifolds and describe an equivalent characterization in terms of Poisson-Dirac submanifolds. Our characterization recovers a result of Vaisman. An equivalent characterization is also given in terms of spinors. As a consequence, we show that the fixed locus of an involution preserving a twisted generalized complex structure is a twisted generalized complex submanifold. We also prove that a twisted generalized complex manifold has a natural Poisson structure. We also discuss generalized Kaehler submanifolds.
%U http://arxiv.org/abs/math/0603480v3