Geometry of Warped Product CR-Submanifolds in Kaehler Manifolds

Geometry of Warped Product CR-Submanifolds in Kaehler Manifolds
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凯勒流形中翘曲产品 CR 子流形的几何形状

DOI:
10.1007/s006050170019
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发表时间:
2001
期刊:
Monatshefte für Mathematik
影响因子:
--
通讯作者:
Bang‐Yen Chen
Bang‐Yen Chen
中科院分区:
--
文献类型:
--
作者:
Bang‐Yen Chen

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本文研究了Kaehler流形中的弯曲积cr -子流形,并引入了cr -弯曲积的概念。证明了Kaehler流形中cr -弯曲积的几个基本性质,并建立了任意Kaehler流形中任意cr -弯曲积的一个一般不等式。然后我们研究了一般Kaehler流形中满足不等式相等情况的ecr弯曲积。最后对复欧几里德空间中满足等式的cr -弯曲积进行了分类。
In this paper we study warped productCR-submanifolds in Kaehler manifolds and introduce the notion ofCR-warped products. We prove several fundamental properties ofCR-warped products in Kaehler manifolds and establish a general inequality for an arbitraryCR-warped product in an arbitrary Kaehler manifold. We then investigateCR-warped products in a general Kaehler manifold which satisfy the equality case of the inequality. Finally we classifyCR-warped products in complex Euclidean space which satisfy the equality.
四元数厄密形式与超奇异几何(二)
DOI: --
发表时间: 2016
期刊:
影响因子: --
作者:
Kohno;K.;Y. Tonegawa;Tomoyoshi Ibukiyama
通讯作者: Tomoyoshi Ibukiyama