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The canal surfaces foliated by pseudo spheres $\mathbb{S}_{1}^{2}$ along a space curve in Minkowski 3-space are studied. The geometric properties of such surfaces are shown by classifying the linear Weingarten canal surfaces, the developable, minimal and umbilical canal surfaces are discussed at the same time.
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참고문헌 (9)
참고문헌 신청
M. K. Karacan / 2014 / Tubular surface of Weingarten types in Minkowski 3-space / Gen. Math. Notes 22:44~56
YOUNG HO KIM / 2016 / Some characterizations of canal surfaces / 대한수학회보 53(2):461~477
Y. H. Kim / 2007 / On non-developable ruled surfaces in Lorentz-Minkowski 3-spaces / Taiwanese J. Math 11(1):197~214
R. Lopez / 2008 / Linear Weingarten surfaces in Euclidean and hyperbolic space / Mat. Contemp 35:95~113
Rafael López / 2008 / Rotational linear Weingarten surfaces of hyperbolic type / Israel Journal of Mathematics 167(1):283~301
YOUNG HO KIM / 2016 / Some characterizations of canal surfaces / 대한수학회보 53(2):461~477
Y. H. Kim / 2007 / On non-developable ruled surfaces in Lorentz-Minkowski 3-spaces / Taiwanese J. Math 11(1):197~214
R. Lopez / 2008 / Linear Weingarten surfaces in Euclidean and hyperbolic space / Mat. Contemp 35:95~113
Rafael López / 2008 / Rotational linear Weingarten surfaces of hyperbolic type / Israel Journal of Mathematics 167(1):283~301
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