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In the Galilean space $G_{3}$, we study a special kind of tube surfaces, called tube-like surfaces. They are defined by sweeping a space curve along another central space curve. In this setting, we investigate some equations in terms of Gaussian and mean curvatures, showing some relevant theorems. Our theoretical results are illustrated with some plotted examples.
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참고문헌 (12)
참고문헌 신청
Hossam S. Abdel-Aziz / 2017 / A study of tube-like surfaces according to type 2 Bishop frame in Euclidean space / Studia Universitatis Babes-Bolyai Matematica 62(2):249~259
H. S. Abdel-Aziz / 2011 / Weingarten timelike tube surfaces around a spacelike curve / Int. J. Math. Anal. 5(25-28):1225~1236
Christos Baikoussis / 1997 / On the inner curvature of the second fundamental form of helicoidal surfaces / Archiv der Mathematik 68(2):169~176
M. Dede / 2013 / Tubular surfaces in Galilean space / Math. Commun 18(1):209~217
Blaženka Divjak / 2003 / Minding isometries of ruled surfaces in pseudo-Galilean space / Journal of Geometry 77(1-2):35~47
H. S. Abdel-Aziz / 2011 / Weingarten timelike tube surfaces around a spacelike curve / Int. J. Math. Anal. 5(25-28):1225~1236
Christos Baikoussis / 1997 / On the inner curvature of the second fundamental form of helicoidal surfaces / Archiv der Mathematik 68(2):169~176
M. Dede / 2013 / Tubular surfaces in Galilean space / Math. Commun 18(1):209~217
Blaženka Divjak / 2003 / Minding isometries of ruled surfaces in pseudo-Galilean space / Journal of Geometry 77(1-2):35~47
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