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

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

Sungho Park


We prove the Frenet type formulae for smooth one-parameter family of $2$-planes or $3$-planes in the Lorentz-Minkowski space $\mathbb L^{6}$. We consider two cases separately: the planes are spacelike or the planes are timelike.


Frenet type Formulae, Minkowski space

Subject classification

53A35, 53B30


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

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H. Frank and O. Giering, Verallegemeinerte Regelfl ̈achen. Math. Z. 150 (1976), 261–271. (Google Scholar)

H. Hagen, Die minimalen (k + 1)-Regelflaechen. Arch. Math. 42, (1984), 76–84. (Google Scholar)

B. O’Neill, Semi-Riemannian Geometry, Academic Press, New York-London, 1983. (Google Scholar)

S. Park, Minimal and Constant mean curvature surfaces in S3 foliated by circles, preprint. (Google Scholar)


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