TOTALLY UMBILIC SPACELIKE SURFACES OF TYPE (I) IN <TEX>$L^n$</TEX>
TOTALLY UMBILIC SPACELIKE SURFACES OF TYPE (I) IN Lⁿ
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2009, v.16 no.4, pp.417-425
Hong, Seong-Kowan
(DEPARTMENT OF MATHEMATICS EDUCATION, PUSAN NATIONAL UNIVERSITY)
Hong, Seong-Kowan.
(2009). TOTALLY UMBILIC SPACELIKE SURFACES OF TYPE (I) IN <TEX>$L^n$</TEX>. 한국수학교육학회지시리즈B:순수및응용수학, 16(4), 417-425.
Abstract
In this paper we show that spheres in <TEX>$E^3{\subset}L^n$</TEX> and pseudohyperbolic spaces in <TEX>$L^3{\subset}L^n$</TEX> are the only totally umbilic spacelike surfaces of type (I) in <TEX>$L^n$</TEX>.