Frenet type formulae for $2$, $3$-planes in Minkowski space $\mathbb L^{6}$

Korean J. Math. Vol. 27 No. 4 (2019) pp.1149-1157
DOI: https://doi.org/10.11568/kjm.2019.27.4.1149

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Published: Dec 30, 2019

Keywords:

Frenet type Formulae, Minkowski space

Mathematics Subject Classification:

53A35, 53B30

Sungho Park

Major in Mathematics, Graduate School of Education Hankuk University of Foreign Studies, Seoul, 02450, Korea

Abstract

We prove the Frenet type formulae for smooth one-parameter family of

2

-planes or

3

-planes in the Lorentz-Minkowski space

L^{6}

. We consider two cases separately: the planes are spacelike or the planes are timelike.

This work was supported by Hankuk University of Foreign Studies Research Fund

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