논문KCI 등재
Geometric characterizations of canal surfaces in Minkowski 3-space $\mathbb{I}$
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초록
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.
Abstract
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.
참고문헌 (9)
- M. K. Karacan, "Tubular surface of Weingarten types in Minkowski 3-space", Gen. Math. Notes, 22, pp.44~56 (2014)
- YOUNG HO KIM, "Some characterizations of canal surfaces", 대한수학회보, 53(2), pp.461~477 (2016), 대한수학회
- Y. H. Kim, "On non-developable ruled surfaces in Lorentz-Minkowski 3-spaces", Taiwanese J. Math, 11(1), pp.197~214 (2007)[DOI]
- R. Lopez, "Linear Weingarten surfaces in Euclidean and hyperbolic space", Mat. Contemp, 35, pp.95~113 (2008)
- Rafael López, "Rotational linear Weingarten surfaces of hyperbolic type", Israel Journal of Mathematics, 167(1), pp.283~301 (2008), Springer Science and Business Media LLC[DOI]
- Jinhua Qian, "Classifications of Canal Surfaces with L1-Pointwise 1-Type Gauss Map", Milan Journal of Mathematics, 83(1), pp.145~155 (2015), Springer Science and Business Media LLC[DOI]
- J. Qian, "Geometric characterizations of canal surfaces in Minkowski 3-space II", ~
- Ali Uçum, "New Types of Canal Surfaces in Minkowski 3-Space", Advances in Applied Clifford Algebras, 26(1), pp.449~468 (2016), Springer Science and Business Media LLC[DOI]
- Zhiqiang Xu, "Analytic and algebraic properties of canal surfaces", Journal of Computational and Applied Mathematics, 195(1-2), pp.220~228 (2006), Elsevier BV[DOI]
관련 논문AI추천
Some characterizations of canal surfacesHuili Liu, Jinhua Qian, YOUNG HO KIM대한수학회 · 대한수학회보2016 · 제53권 제2호Canal Surfaces in Pseudo-Galilean 3-SpacesMurat Kemal Karacan, Yılmaz Tuncer경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제2호Timelike tubular surfaces of Weingarten types and linear Weingarten types in Minkowski 3-spaceChenghong He, He-Jun Sun대한수학회 · 대한수학회보2024 · 제61권 제2호NON-DEVELOPABLE RULED SURFACES WITH TIMELIKE RULING IN MINKOWSKI 3-SPACEYanhua Yu, Yun Yang대한수학회 · 대한수학회보2015 · 제52권 제4호Helicoidal surfaces and their Gauss map in Minkowski 3-space II김영호, 최미경, Gi-Chan Park대한수학회 · 대한수학회보2009 · 제46권 제3호CANAL HYPERSURFACES GENERATED BY NON-NULL CURVES IN LORENTZ-MINKOWSKI 4-SPACE윤대원, Ahmet Kazan, Mustafa Altın대한수학회 · 대한수학회보2023 · 제60권 제5호
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