Geometric characterizations of canal surfaces in Minkowski 3-space I Bull. Korean Math. Soc. 2019 Vol. 56, No. 4, 867-883 https://doi.org/10.4134/BKMS.b180643 Published online July 9, 2019 Printed July 31, 2019 Xueshan Fu, Seoung Dal Jung, Jinhua Qian, Mengfei Su Northeastern University; Jeju National University; Northeastern 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 surface, pseudo sphere, linear Weingarten surface MSC numbers : 53A35, 53B25, 53C50 Supported by : The authors were supported by NSFC (No.11801065,11371080) and the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP)(NRF-2018R1A2B2002046) Downloads: Full-text PDF   Full-text HTML