A note on submanifolds and mappings in generalized complex geometry

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In generalized complex geometry, we revisit linear subspaces and submanifolds that have an induced generalized complex structure. We give an expression of the induced structure that allows us to deduce a smoothness criterion, we dualize the results to submersions and we make a few comments on generalized complex mappings. Then, we discuss submanifolds of generalized Kähler manifolds that have an induced generalized Kähler structure. These turn out to be the common invariant submanifolds of the two classical complex structures of the generalized Kähler manifold.

Original languageEnglish
Pages (from-to)373-390
Number of pages18
JournalMonatshefte fur Mathematik
Issue number2
StatePublished - 1 Jun 2016

Bibliographical note

Publisher Copyright:
© 2015, Springer-Verlag Wien.


  • Bicomplex submanifold
  • Generalized Kähler structure
  • Generalized complex structure
  • Induced structure

ASJC Scopus subject areas

  • General Mathematics


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