Complete real Kähler submanifolds

A. de Carvalho

Mathematische Nachrichten, 2024, vol. 297, issue 7, 2532-2542

Abstract: Let f:M2n→R2n+p$f: M^{2n}\rightarrow \mathbb {R}^{2n+p}$ denote an isometric immersion of a Kähler manifold with complex dimension n≥2$n\ge 2$ into Euclidean space with codimension p$p$. We show that generic rank conditions on the second fundamental form of a non‐minimal complete real Kähler submanifold f$f$ imply that f$f$ is a cylinder over a real Kähler submanifold g:N2p→R2p+p$g: N^{2p}\rightarrow \mathbb {R}^{2p+p}$.

Date: 2024
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https://doi.org/10.1002/mana.202300369

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