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Article

Geometric Characterizations of Canal Surfaces in Minkowski 3-Space II

1
Department of Mathematics, Northeastern University, Shenyang 110004, China
2
Department of Mathematics, Jeju National University, Jeju 690-756, Korea
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(8), 703; https://doi.org/10.3390/math7080703
Received: 15 July 2019 / Revised: 31 July 2019 / Accepted: 2 August 2019 / Published: 5 August 2019
Canal surfaces are defined and divided into nine types in Minkowski 3-space E 1 3 , which are obtained as the envelope of a family of pseudospheres S 1 2 , pseudohyperbolic spheres H 0 2 , or lightlike cones Q 2 , whose centers lie on a space curve (resp. spacelike curve, timelike curve, or null curve). This paper focuses on canal surfaces foliated by pseudohyperbolic spheres H 0 2 along three kinds of space curves in E 1 3 . The geometric properties of such surfaces are presented by classifying the linear Weingarten canal surfaces, especially the relationship between the Gaussian curvature and the mean curvature of canal surfaces. Last but not least, two examples are shown to illustrate the construction of such surfaces. View Full-Text
Keywords: Minkowski 3-space; canal surface; pseudohyperbolic sphere; linear Weingarten surface Minkowski 3-space; canal surface; pseudohyperbolic sphere; linear Weingarten surface
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MDPI and ACS Style

Qian, J.; Su, M.; Fu, X.; Jung, S.D. Geometric Characterizations of Canal Surfaces in Minkowski 3-Space II . Mathematics 2019, 7, 703. https://doi.org/10.3390/math7080703

AMA Style

Qian J, Su M, Fu X, Jung SD. Geometric Characterizations of Canal Surfaces in Minkowski 3-Space II . Mathematics. 2019; 7(8):703. https://doi.org/10.3390/math7080703

Chicago/Turabian Style

Qian, Jinhua, Mengfei Su, Xueshan Fu, and Seoung D. Jung. 2019. "Geometric Characterizations of Canal Surfaces in Minkowski 3-Space II " Mathematics 7, no. 8: 703. https://doi.org/10.3390/math7080703

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