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Some submanifolds with flat space like normal bundle in pseudo Riemannian space forms

机译：一些具有平坦空间的子流形，如伪黎曼空间中的正常束

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In this paper we partially classify isometric immersions from pseudo Riemannian space of constant sectional curvature into pseudo Riemannian space forms with flat space like normal bundle, if either the mean curvature vector field is parallel or if the manifolds are semi Euclidean spaces and the mean curvature vector field is of constant length. For hypersurfaces satisfying the above conditions we give a complete classification. (author). 11 refs. (Atomindex citation 27:046044)

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作者
Kashani, S. M. B.;
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年度 1995
页码 1-13
总页数 13
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Differential Geometry; Riemann Space; Mathematics;

机译：微分几何;黎曼空间;数学;

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专利

1. Pseudo-Parallel Legendrian Submanifolds With Flat Normal Bundle of Sasakian Space Forms [J] . Xiaomin CHEN Progress in Applied Mathematics . 2014,第1期

机译：Sasakian空间形式的平面法线束的伪并行Legendrian子流形
2. Ricci generalized pseudo-parallel Legendrian submanifolds with flat normal bundle of Sasakian space forms [J] . Shehu Maitama International mathematical forum . 2014,第17期

机译：Ricci广义伪平行Legendrian子流形，具有萨萨克空间形式的平面法线束
3. PSEUDO-PARALLEL SUBMANIFOLDS WITH FLAT NORMAL BUNDLE OF SPACE FORMS [J] . G. A. LOBOS, R. TOJEIRO Glasgow Mathematical Journal . 2006,第1期

机译：具有平整正常空间组合形式的伪并行子流形
4. Canonical Deformations of Pseudo-Riemannian Spaces [C] . N. Vashpanova, T. Podousova, Ju. Fedchenko International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences . 2019

机译：伪riemannian空间的规范变形
5. Development of the invariant theory of Killing tensors defined on pseudo -Riemannian spaces of constant curvature [D] . Yue, Jin 2005

机译：等曲拟黎曼空间上定义的Killing张量不变理论的发展
6. Pinching Theorems for Statistical Submanifolds in Sasaki-Like Statistical Space Forms [O] . Ali H. Alkhaldi, Mohd. Aquib, Aliya Naaz Siddiqui, 2018

机译：在Sasaki样统计空间形式中捏住统计子统计学的定理
7. Ricci Generalized Pseudo-Parallel Legendrian Submanifolds with Flat Normal Bundle of Sasakian Space Forms [O] . Xiaomin Chen 2015

机译：具有sasakian空间形式的平坦正规束的Ricci广义伪平行Legendrian子流形
8. Some hypersurfaces with time like normal bundle in pseudo Riemannian space forms [R] . Kashani, S. M. B. 1995

机译：在伪黎曼空间中形成一些具有时间的超曲面，如正常束

Some submanifolds with flat space like normal bundle in pseudo Riemannian space forms

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