完整的实卡勒子漫游

IF 0.8 3区数学 Q2 MATHEMATICS Mathematische Nachrichten Pub Date : 2024-03-12 DOI:10.1002/mana.202300369

A. de Carvalho

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引用次数: 0

摘要

让 f:M2n→R2n+p$f：M^{2n}\rightarrow \mathbb {R}^{2n+p}$ 表示复维度 n≥2$n\ge 2$ 的凯勒流形等距浸入标度 p$p$ 的欧几里得空间。我们证明，关于非最小完整实凯勒子流形 f$f$ 的第二基本形式的一般秩条件意味着 f$f$ 是实凯勒子流形 g:N2p→R2p+p$g 上的圆柱体：N^{2p}\rightarrow \mathbb {R}^{2p+p}$.

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Complete real Kähler submanifolds

Let $f : M^{2 n} \to R^{2 n + p}$ denote an isometric immersion of a Kähler manifold with complex dimension $n \geq 2$ into Euclidean space with codimension $p$ . We show that generic rank conditions on the second fundamental form of a non-minimal complete real Kähler submanifold $f$ imply that $f$ is a cylinder over a real Kähler submanifold $g : N^{2 p} \to R^{2 p + p}$ .

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index

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