Generalized Complex Submanifolds
微分几何
2008-07-21 v3 辛几何
摘要
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.
引用
@article{arxiv.math/0603480,
title = {Generalized Complex Submanifolds},
author = {James Barton and Mathieu Stienon},
journal= {arXiv preprint arXiv:math/0603480},
year = {2008}
}
备注
section 3 expanded, three sections added, 19 pages