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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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This work considers a particular type of swept surface named canal surfaces in Euclidean 3-space. For such a kind of surfaces, some interesting and important relations about the Gaussian curvature, the mean curvature and the second Gaussian curvature are found. Based on these relations, some canal surfaces are characterized.
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참고문헌 (11)
참고문헌 신청
J. A. Galvez / 2003 / Linear Weingarten Surfaces in R3 / Monatsh. Math 138(2):133~144
S. Haesen / 2008 / The mean curvature of the second funda-mental form / Houston J. Math 34(3):703~719
Y. H. Kim / 2007 / On non-developable ruled surface in Lorentz-Minkowski 3-spaces / Taiwanese J. Math 11(1):197~214
S. N. Krivoshapko / 2012 / Classification of cyclic surfaces and geomet-rical research of canal surfaces / Int. J. Res. Rev. Appl. Sci 12(3):360~374
R. Lopez / 2008 / Linear Weingarten surfaces in Euclidean and hyperbolic space / Mat. Contemp 35:95~113
S. Haesen / 2008 / The mean curvature of the second funda-mental form / Houston J. Math 34(3):703~719
Y. H. Kim / 2007 / On non-developable ruled surface in Lorentz-Minkowski 3-spaces / Taiwanese J. Math 11(1):197~214
S. N. Krivoshapko / 2012 / Classification of cyclic surfaces and geomet-rical research of canal surfaces / Int. J. Res. Rev. Appl. Sci 12(3):360~374
R. Lopez / 2008 / Linear Weingarten surfaces in Euclidean and hyperbolic space / Mat. Contemp 35:95~113
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