Geometric characterizations of canal surfaces in Minkowski 3-space $\mathbb{I}$
Bull. Korean Math. Soc.
Published online 2019 Jan 14
Xueshan Fu, SeoungDal Jung, Jinhua Qian, and Mengfei Su
Jeju National University, Northeastern University
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.
Keywords : Minkowski 3-space, canal surfaces, pseudo spheres, linear Weingarten surfaces
MSC numbers : 53A05, 53B25, 53C50
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