A note on submanifolds of generalized Kähler manifolds

Izu Vaisman


In this note, we consider submanifolds of a generalized Kähler manifold that are CR-submanifolds for the two associated Hermitian structures. Then, we establish the conditions for the induced, generalized F structure to be a CRFK structure. The results extend similar conditions which we obtained for hypersurfaces in an earlier paper.


Generalized F structure; generalized CRF structure; generalized CRFK structure; CR-submanifold; bi-CR-submanifold

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DOI: http://dx.doi.org/10.14510%2Flm-ns.v0i0.1373