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In this paper, we study some properties about the parallel surfaces of ruled surfaces in a Euclidean 3-space. Furthermore, we classify the parallel surfaces of ruled surfaces in a Euclidean 3-space satisfying a linear type and a quadric type with respect to the Gaussian curvature and the mean curvature.
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참고문헌 (16)
참고문헌 신청
D.E. Blair / 1992 / Ruled surfaces with vanishing second Gaussian curvature / Monatsh. Math 113:177~181
F. Dillen / 2005 / Ruled surfaces of Weingarten type in Minkowski 3-space / J. Geom 83:10~21
J.A. G´alvez / 2003 / Linear Weingarten surfaces in R3 / Monatsh. Math 138:133~144
Y.H. Kim / 2004 / Classification of ruled surfaces in Minkowski 3-spaces / J. Geom. Physics 49:89~100
Y.H. Kim / 2007 / On non-developable ruled surfaces in Lorentz-Minkowski 3-spaces / Taiwances J. Math 11:197~214
F. Dillen / 2005 / Ruled surfaces of Weingarten type in Minkowski 3-space / J. Geom 83:10~21
J.A. G´alvez / 2003 / Linear Weingarten surfaces in R3 / Monatsh. Math 138:133~144
Y.H. Kim / 2004 / Classification of ruled surfaces in Minkowski 3-spaces / J. Geom. Physics 49:89~100
Y.H. Kim / 2007 / On non-developable ruled surfaces in Lorentz-Minkowski 3-spaces / Taiwances J. Math 11:197~214
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