Generalized complex submanifolds

James Barton, Mathieu Stiénon

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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 languageEnglish (US)
Pages (from-to)23-44
Number of pages22
JournalPacific Journal of Mathematics
Volume236
Issue number1
DOIs
StatePublished - May 2008

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Generalized complex submanifolds'. Together they form a unique fingerprint.

Cite this