논문KCI 등재
Frenet type formulae for $2$, $3$-planes in Minkowski space $\mathbb L^{6}$
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초록
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.
Abstract
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.
참고문헌 (4)
- H. Frank, "Verallegemeinerte Regelfiachen", Math. Z, 150, pp.261~271 (1976)
- H. Hagen, "Die minimalen (k + 1)-Regel aechen", Arch. Math., 42, pp.76~84 (1984)
- B. O'Neill, "Semi-Riemannian Geometry" (1983), Academic Press
- S. Park, "Minimal and Constant mean curvature surfaces in S3 foliated by circles", ~
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