국가지식-학술정보
Totally umbilic lorentzian surfaces embedded in $L^n$
- 대한수학회
- Bulletin of the Korean Mathematical Society
- Vol.34 No.1
-
1997.019 - 17 (9 pages)
- 0
커버이미지 없음
Define $\bar{g}{\upsilon, \omega) = -\upsilon_1\omega_1 + \cdots + \upsilon_n\omega_n$ for $\upsilon, \omega in R^n$. $R^n$ together with this metric is called the Lorentzian n-space, denoted by $L^n$, and $R^n$ together with the Euclidean metric is called the Euclidean n-space, denoted by $E^n$. A Lorentzian surface in $L^n$ means an orientable connected 2-dimensional Lorentzian submanifold of $L^n$ equipped with the induced Lorentzian metrix g from $\bar{g}$.
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