【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．更多还原

【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.更多还原