Classification of Ruld Surfaces with Non-degenerate Second Fundamental Forms in Lorenz-Minkowski 3-spaces
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In this paper, we study some properties of ruled surfaces in a three-dimensional Lorentz-Minkowski space related to their Gaussian curvature, the second Gaussian curvature and the mean curvature. Furthermore, we examine the ruled surfaces in a three- dimensional Lorentz-Minkowski space satisfying the Jacobi condition formed with those curvatures, which are called the II-W and the II-G ruled surfaces and give a classi¯cation of such ruled surfaces in a three-dimensional Lorentz-Minkowski space.
Abstract
In this paper, we study some properties of ruled surfaces in a three-dimensional Lorentz-Minkowski space related to their Gaussian curvature, the second Gaussian curvature and the mean curvature. Furthermore, we examine the ruled surfaces in a three- dimensional Lorentz-Minkowski space satisfying the Jacobi condition formed with those curvatures, which are called the II-W and the II-G ruled surfaces and give a classi¯cation of such ruled surfaces in a three-dimensional Lorentz-Minkowski space.
참고문헌 (7)
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