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In this paper, using pseudo-spherical Frenet frame of pseudo-spherical curves in hyperbolic space, we define the notion of the structure functions on the non-developable ruled surfaces with timelike ruling. Then we obtain the properties of the structure functions and a complete classification of the non-developable ruled surfaces with timelike ruling in Minkowski 3-space by the theories of the structure functions.
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참고문헌 (5)
참고문헌 신청
B. Y. Chen / 2003 / When does the position vector of a space curve always lie in its rectifying plane? / Amer. Math. Monthly 110 (2) : 147 ~ 152
H. L. Liu / 2012 / Pitch functions of ruled surfaces and B-scrolls in Minkowski 3-space / J. Geom. Phys 62 (1) : 47 ~ 52
H. L. Liu / 2014 / Invariants of non-developable ruled surfaces in Euclidean 3-space / Beitr. Algebra. Geom 55 (1) : 189 ~ 199
H. R. M¨uler / 1951 / Uber geschlossene Bewegungsvorgange / Monotsh. Math 55 : 206 ~ 214
Y. H. Yu / 2014 / Structure and characterization of ruled surfaces in Euclidean 3-space / Appl. Math. Comput 233 : 252 ~ 259
H. L. Liu / 2012 / Pitch functions of ruled surfaces and B-scrolls in Minkowski 3-space / J. Geom. Phys 62 (1) : 47 ~ 52
H. L. Liu / 2014 / Invariants of non-developable ruled surfaces in Euclidean 3-space / Beitr. Algebra. Geom 55 (1) : 189 ~ 199
H. R. M¨uler / 1951 / Uber geschlossene Bewegungsvorgange / Monotsh. Math 55 : 206 ~ 214
Y. H. Yu / 2014 / Structure and characterization of ruled surfaces in Euclidean 3-space / Appl. Math. Comput 233 : 252 ~ 259
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