Real Kähler submanifolds in codimension 6

de Carvalho, Alcides; Guimarães, Felippe

doi:10.1090/proc/14737

Real Kähler submanifolds in codimension $6$
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by Alcides de Carvalho and Felippe Guimarães PDF

Proc. Amer. Math. Soc. 148 (2020), 403-412 Request permission

Abstract:

We show that a real Kähler submanifold in codimension $6$ is essentially a holomorphic submanifold of another real Kähler 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 Kähler submanifold is minimal, using recent results about isometric rigidity.

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