A note on submanifolds of generalized K\"ahler manifolds
Differential Geometry
2017-08-07 v1
Abstract
In this note, we consider submanifolds of a generalized K\"ahler 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.
Cite
@article{arxiv.1708.01409,
title = {A note on submanifolds of generalized K\"ahler manifolds},
author = {Izu Vaisman},
journal= {arXiv preprint arXiv:1708.01409},
year = {2017}
}
Comments
LaTex, 11 pages