On hypersurfaces of generalized Kähler manifolds

2017/05/29 by Izu Vaisman, Vaisman, Izu
Mathematics · Physics and Astronomy · #53C15 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1705.10073

openalex publication_date 2017/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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×\mathdsR. If the latter is integrable, the former is normal and we give the corresponding characterization. If the structure on M×\mathdsR is generalized Kähler, the structure on M is said to be binormal. We characterize binormality and give an example of binormal structure.

Citations

• Generalized Complex Geometry

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