Abstract
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 (2007). 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 Kähler submanifolds.
Original language | English (US) |
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Pages (from-to) | 23-44 |
Number of pages | 22 |
Journal | Pacific Journal of Mathematics |
Volume | 236 |
Issue number | 1 |
DOIs | |
State | Published - May 2008 |
All Science Journal Classification (ASJC) codes
- General Mathematics