Complete submanifolds with parallel mean curvature vector in hyperbolic spaces

Leung-Fu Cheung; Pui-Fai Leung; Yiu-Chung Leung

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Complete submanifolds with parallel mean curvature vector in hyperbolic spaces

机译：双曲空间中具有平行平均曲率向量的完整子流形

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摘要

In this paper we proved a better estimate as well as generalized to higher codimensions of a theorem of Y.B. Shen on complete submanifolds with parallel mean curvature vector in a hyperbolic space.

机译：在本文中，我们证明了一个更好的估计，并将其推广到Y.B定理的更高次维度。沉在双曲空间中具有平行平均曲率向量的完整子流形上。

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来源
《Journal of Geometry》 |2004年第2期|1-9|共9页
作者
Leung-Fu Cheung; Pui-Fai Leung; Yiu-Chung Leung;
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作者单位

Department of Applied Mathematics The Hong Kong Polytechnic University;

Department of Mathematics National University of Singapore;

Department of Mathematics National University of Singapore;

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原文格式 PDF
正文语种 eng
中图分类
关键词
53C42; Complete submanifolds; parallel mean curvature vector; gap theorems; hyperbolic spaces;

机译：53C42;完全子流形;平行平均曲率向量;间隙定理;双曲空间;

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1. Complete submanifolds with parallel mean curvature vector in hyperbolic spaces [J] . Leung-Fu Cheung, Pui-Fai Leung, Yiu-Chung Leung Journal of geometry . 2004,第1a2期

机译：双曲线空间中具有平行平均曲率载体的完整子植物
2. Complete spacelike submanifolds with parallel mean curvature vector in a semi-Euclidean space [J] . De Lima H. F., Dos Santos F. R., Velasquez M. A. L. Acta mathematica Hungarica . 2016,第1期

机译：半欧空间中具有平行平均曲率向量的完整类空子流形
3. ON COMPLETE SPACELIKE SUBMANIFOLDS INSEMI-RIEMANNIAN SPACE FORMS WITH PARALLELNORMALIZED MEAN CURVATURE VECTOR [J] . XIAOLI CHAO Kodai Mathematical Journal . 2011,第1期

机译：平行范数均值曲面向量的完全Spacelike次流形的亚黎曼空间形式
4. Constant mean curvature submanifolds in (α, β)—Finsler spaces [C] . V. Balan International Conference on Differential Geometry and Applications . 2008

机译：（α，β） - 芬兰空间中的恒定平均曲率子纤维
5. SUBMANIFOLDS OF SASAKIAN MANIFOLDS WHICH ARE TANGENT TO THE STRUCTURE VECTOR FIELD (KAEHLERIAN, ANTI-INVARIANT, CURVATURE). [D] . RONSSE, GREGORY STEPHEN. 1984

机译：与结构矢量场有关的子流形的子流形（Kaehlerian，不变式，曲率）。
6. The complete moment convergence for CNA random vectors in Hilbert spaces [O] . Mi-Hwa Ko -1

机译：希尔伯特空间中CNA随机向量的完整矩收敛
7. Complete space-like submanifolds with parallel mean curvature vector of an indefinite space form [O] . Cheng Qing-Ming, Choi Soon Meen 1993

机译：具有不确定空间形式的平行平均曲率向量的完整类空子流形

Complete submanifolds with parallel mean curvature vector in hyperbolic spaces

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