| Minkowski空间中给定主曲率函数球型和双曲型旋转超曲面 |
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| 引用本文： | 魏灵燕,赵玮,黄安民.Minkowski空间中给定主曲率函数球型和双曲型旋转超曲面[J].江西师范大学学报(自然科学版),2007,31(3):249-253. |
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| 作者姓名： | 魏灵燕 赵玮 黄安民 |
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| 作者单位： | 南昌大学,数学系,江西,南昌,330047;仰恩大学,数学教研室,福建,泉州,362014 |
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| 基金项目： | 国家自然科学基金
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江西省自然科学基金 |
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| 摘 要： | 给出了Minkowski空间En1 1中给定主曲率函数的球型和双曲型旋转超曲面的位置向量场,并通过计算超曲面的主曲率,证明了这类超曲面的存在性.
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| 关 键 词： | 主曲率函数 旋转超曲面 位置向量场 |
| 文章编号： | 1000-5862（2007）03-0249-05 |
| 修稿时间： | 2006-12-20 |
Spherical and Hyperbolic Rotational Hypersurfaces with Prescribed Principal Curvature in Minkowski Space |
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| WEI Ling-yan,ZHAO Wei,HUANG An-min.Spherical and Hyperbolic Rotational Hypersurfaces with Prescribed Principal Curvature in Minkowski Space[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2007,31(3):249-253. |
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| Authors: | WEI Ling-yan ZHAO Wei HUANG An-min |
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| Institution: | 1. Department of Mathematics, Nanehang University, Nanchang 330047, China; 2. Department of Mathematics, Yangen University, Quanzhou Fujian 362014, China |
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| Abstract: | In this paper,the position vector fields of the spherical and hyperbolic rotational hypersurfaces in Minkowski space are given.After computing the principal curvatures and solving the differential equation systems,the existence of rotational hypersurfaces with prescribed principal curvature functions in Minkowski space is proved. |
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| Keywords: | principal curvature function rotational hypersurface position vector fields |
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