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| THE GAUSS MAP OF TIMELIKE SURFACES IN Rn1 |
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Citation： |
Hong Jianqiao.THE GAUSS MAP OF TIMELIKE SURFACES IN Rn1[J].Chinese Annals of Mathematics B,1995,16(3):361~370 |
| Page view： 1130
Net amount： 953 |
Authors： |
Hong Jianqiao; |
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| Abstract： |
Gauss maps of oriented timelike 2-surfaces in $R_1^n$ are
characterized, and it is shown that Gauss maps can determine surfaces locally
as they do in $R^n$ case. Moreover, some essential differences are
discovered between the properties of the Gauss maps of surfaces in $R^n$
and those of the Gauss
maps of timelike surfaces in $R_1^n$. In particular, a counterexample
shows that a nonminimal timelike surface in $R_1^n$ cannot be essentially
determined by its Gauss map. |
Keywords： |
Timelike surface, Gauss map, External surface. |
Classification： |
53A, 53C50 |
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