Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2019; 56(4): 867-883

Online first article July 9, 2019      Printed July 31, 2019

https://doi.org/10.4134/BKMS.b180643

Copyright © The Korean Mathematical Society.

Geometric characterizations of canal surfaces in Minkowski 3-space I

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)