TOTALLY UMBILIC SPACELIKE SURFACES OF TYPE (I) IN Lⁿ
Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2009, v.16 no.4, pp.417-425
Hong, Seong-Kowan
Hong,,
S.
(2009). TOTALLY UMBILIC SPACELIKE SURFACES OF TYPE (I) IN Lⁿ, 16(4), 417-425.
Abstract
In this paper we show that spheres in $E^3{\subset}L^n$ and pseudohyperbolic spaces in $L^3{\subset}L^n$ are the only totally umbilic spacelike surfaces of type (I) in $L^n$.