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ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

FRENET EQUATIONS OF NULL CURVES

FRENET EQUATIONS OF NULL CURVES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2003, v.10 no.2, pp.71-102
Jin, Dae-Ho (Department Of Mathematics, Dongguk University)

Abstract

The purpose of this paper is to study the geometry of null curves in a 6-dimensional semi-Riemannian manifold <TEX>$M_q$</TEX> of index q, since the general n-dimensional cases are too complicated. We show that it is possible to construct three types of Frenet equations of null curves in <TEX>$M_q$</TEX>, supported by one example. We find each types of Frenet equations invariant under any causal change. And we discuss some properties of null curves in <TEX>$M_q$</TEX>.

keywords
null curve, Frenet frames

한국수학교육학회지시리즈B:순수및응용수학