On hypersurfaces of generalized Kähler manifolds

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Abstract

We establish the conditions for the induced generalized metric F structure of an oriented hypersurface of a generalized Kähler manifold to be a generalized CRFK structure. Then, we discuss a notion of generalized almost contact structure on a manifold M that is suggested by the induced structure of a hypersurface. Such a structure has an associated generalized almost complex structure on M×R. If the latter is integrable, the former is normal and we give the corresponding characterization. If the structure on M×R is generalized Kähler, the structure on M is said to be binormal. We characterize binormality and give an example of binormal structure.

Original languageEnglish
Pages (from-to)120-141
Number of pages22
JournalDifferential Geometry and its Applications
Volume56
DOIs
StatePublished - Feb 2018

Bibliographical note

Publisher Copyright:
© 2017 Elsevier B.V.

Keywords

  • Generalized almost contact structure
  • Generalized CRFK structure
  • Generalized Kähler structure

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology
  • Computational Theory and Mathematics

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