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In this paper, Bäcklund’s Theorem is introduced on the Lorentzian n-submanifold of the Minkowski space $${\mathbb{E}_{1}^{2n-1}}$$ E 1 2 n - 1 by using the method of moving frames. Also, we prove the Integrability Theorem for the Lorentzian n-submanifold of the Minkowski space $${\mathbb{E}_{1}^{2n-1}}$$ E 1 2 n - 1 .
In this paper, we investigate the focal surfaces obtained by the normal rectilinear congruence in the Minkowski 3-space. The sub-parabolic points and the ridge points are studied on the spacelike and timelike surfaces. We examine some special points on the surface, which form the sub-parabolic and the ridge lines in the Minkowski 3-space.
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