Classification of ruled surfaces in Minkowski 3-spaces

Second fundamental form

“…the first or the second fundamental form), then the second fundamental form can impossibly have constant sectional curvature. Ruled surfaces in three-dimensional Euclidean or Lorentzian space with a condition on the curvatures of the second fundamental form have also been studied in, a.o., [Manhart 1982, Stamou-Magkos 2004, Dillen-Sodsiri 2005a, Dillen-Sodsiri 2005b, Sodsiri 2005, Kim-Yoon 2004, Kim-Yoon 2006, Yoon 2006b, Kim-Yoon 2007, Altın 2007. For ruled surfaces in 3 whose mean curvature vector is an eigenvector of ∆ II , see [Yoon 2006a] and some of the references therein.…”

A study of tube-like surfaces according to type 2 Bishop frame in Euclidean space

“…Recently, in [23], the author was studied Weingarten tube-like surfaces in Euclidean 3-space. In a Minkowski 3-space E 3 1 , a classification of these surfaces is given in [1,2,8,12,16,24]. This paper is devoted to use the new version of type 2 Bishop frame which was given in [29] to introduce a study for parametrization of a tube-like surface satisfying the Jacobi condition in Euclidean 3-space E 3 .…”

Studying on a Skew Ruled Surface by Using the Geodesic Frenet Trihedron of Its Generator

“…There are many studies that interested with many properties of these surfaces in Euclidean space and some characterizations [5,11]. Furthermore, many geometers have studied some of the differential geometric concepts of the ruled surfaces in Minkowski space [1][2][3][7][8][9].…”