Real K\"ahler Submanifolds in Codimension $6$
Differential Geometry
2019-05-15 v2
Abstract
We show that a real K\"ahler submanifold in codimension is essentially a holomorphic submanifold of another real K\"ahler submanifold in lower codimension if the second fundamental form is not sufficiently degenerated. We also give a shorter proof of this result when the real K\"ahler submanifold is minimal, using recent results about isometric rigidity.
Keywords
Cite
@article{arxiv.1905.03805,
title = {Real K\"ahler Submanifolds in Codimension $6$},
author = {Alcides de Carvalho and Felippe Guimarães},
journal= {arXiv preprint arXiv:1905.03805},
year = {2019}
}