A note on submanifolds of generalized Kähler manifolds
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