Bulletin of the
Korean Mathematical Society
BKMS

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

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2010; 47(4): 859-881

Printed July 1, 2010

https://doi.org/10.4134/BKMS.2010.47.4.859

Copyright © The Korean Mathematical Society.

Helicoidal Surfaces and their Gauss map in Minkowski 3-space

Miekyung Choi, Young Ho Kim, Huili Liu, and Dae Won Yoon

Kyungpook National University, Kyungpook National University, Northeastern University, Gyeongsang National University

Abstract

The helicoidal surface is a generalization of rotation surface in a Minkowski space. We study helicoidal surfaces in a Minkowski 3-space in terms of their Gauss map and provide some examples of new classes of helicoidal surfaces with constant mean curvature in a Minkowski 3-space.

Keywords: helicoidal surfaces, Enneper's surface, Minkowski space, pointwise 1-type Gauss map

MSC numbers: 53B25, 53C40