| A Class Curves with Some Geometric and Physical Properties in a Higher Dimensional Space |
| |
| 引用本文： | JIA Xing-qin,LI Xian (College of Mathematics and Information Science,Henan University,Kaifeng 475001,China). A Class Curves with Some Geometric and Physical Properties in a Higher Dimensional Space[J]. 数学季刊, 2005, 20(3): 289-295 |
| |
| 作者姓名： | JIA Xing-qin LI Xian (College of Mathematics and Information Science Henan University Kaifeng 475001 China) |
| |
| 作者单位： | College of Mathematics and Information Science，Henan University，Kaifeng 475001，China |
| |
| 基金项目： | Foundation item: Supported by the Natural Science foundation of Henan Education Committee (20021100002) |
| |
| 摘 要： | In this paper, we have considered a class curves with some geometric properties in a higher dimensional space and obtained the differential equation of such a class curves, which are called the hyperbolas. We have considered also hyperbola-preserving conformal transformation and the relevant physical sense. And therefore obtained other invariant properties under the illustrious concircular transformation.
|
| 关 键 词： | 高维空间 双曲线 几何特性 物理性质 Riemannian空间 |
A Class Curves with Some Geometric and Physical Propertiesin a Higher Dimensional Space |
| |
| JIA Xing-qin LI Xian. A Class Curves with Some Geometric and Physical Propertiesin a Higher Dimensional Space[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(3): 289-295 |
| |
| Authors: | JIA Xing-qin LI Xian |
| |
| Affiliation: | College of Mathematics and Information Science,, Henan University, Kaifeng 475001, China |
| |
| Abstract: | In this paper, we have considered a class curves with some geometric properties in a higher dimensional space and obtained the differential equation of such a class curves, which are called the hyperbolas. We have considered also hyperbola-preserving conformal transformation and the relevant physical sense. And therefore obtained other invariant properties under the illustrious concircular transformation. |
| |
| Keywords: | Riemannian space hyperbola curvature conformal transformation |
| 本文献已被 CNKI 维普 等数据库收录！ |
