2019•Proceedings of the American Mathematical SocietyOpen access
Real Kähler submanifolds in codimension 6
Alcides de Carvalho, Felippe Guimarães
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Abstract
We show that a real Kähler submanifold in codimension 6 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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