Real Kähler submanifolds in codimension 6
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 m...
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| Veröffentlicht in: | Proceedings of the American Mathematical Society 2020-01, Vol.148 (1), p.403-412 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 0002-9939 1088-6826 |
| DOI: | 10.1090/proc/14737 |