| 三维Minkowski空间中H－可形变的类空曲面和类时曲面 |
| |
| 引用本文： | 王红. 三维Minkowski空间中H－可形变的类空曲面和类时曲面[J]. 新疆大学学报(理工版), 1994, 0(4) |
| |
| 作者姓名： | 王红 |
| |
| 作者单位： | 新疆大学数学系 |
| |
| 摘 要： | 本文，我们研究了三维Ｍｉｎｋｏｗｓｋｉ空间Ｒ２．１中保持平均曲率函数不变的类空曲面和类时曲面的等距形变问题──称为Ｈ－形变问题．首先，对于Ｈ－可形变的类空浸入和类时浸入的存在性给出了一个充要条件．其次．讨论了具有常平均曲率的类空和类时曲面的Ｈ－形变．进一步，我们给出了Ｈ－可形变的类空和类时曲面的两个特征．最后，给出了一个平坦类时曲面Ｈ－形变的例子．
|
| 关 键 词： | Minkowski空间，类空曲面，类时曲面，H－形空，特征 |
H-DEFORMABLE SPACELIKE AND TIMELIKE SURFACES IN 3-DIMENSIONAL MINKOWSKI SPACE |
| |
| Wang.Hong. H-DEFORMABLE SPACELIKE AND TIMELIKE SURFACES IN 3-DIMENSIONAL MINKOWSKI SPACE[J]. Journal of Xinjiang University(Science & Engineering), 1994, 0(4) |
| |
| Authors: | Wang.Hong |
| |
| Abstract: | In this peper, we stier the isonetric deformations of the sparelik. and timelike surfaces in 3dimensional Minkowski space R2.1 preserving the mean curvature function, which are, called H.deformation first, we give a necessary and sufficient .condition for the existence of the H-deformable spacelike or tirnelike immersion in R2.1, Next, we discuss the H-deformations of the spacelike and'timelik. surfaces with constant'mean curvature. Moreover,we offer twocharacterizations of the H-deformable spacelike or timelike surface in R2,1. At last, we give aexample of H-deformation of flat timelike surface. |
| |
| Keywords: | Minkowski space spacelike surface timelike surface H-deformation characterizafion |
| 本文献已被 CNKI 等数据库收录！ |
