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arXiv · 1708.01409

A note on submanifolds of generalized K\"ahler manifolds

Izu Vaisman
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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.

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Izu Vaisman. 2017-08-04. A note on submanifolds of generalized K\"ahler manifolds. https://arxiv.org/abs/1708.01409

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