Bulletin of the
Korean Mathematical Society
BKMS

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

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Bull. Korean Math. Soc. 2016; 53(2): 519-530

Printed March 31, 2016

https://doi.org/10.4134/BKMS.2016.53.2.519

Copyright © The Korean Mathematical Society.

Surfaces of revolution with pointwise 1-type Gauss map in pseudo-Galilean space

Miekyung Choi and Dae Won Yoon

Gyeongsang National University, Gyeongsang National University

Abstract

In this paper, we study surfaces of revolution in the three dimensional pseudo-Galilean space. We classify surfaces of revolution generated by a non-isotropic curve in terms of the Gauss map and the Laplacian of the surface. Furthermore, we give the classification of surfaces of revolution generated by an isotropic curve satisfying pointwise 1-type Gauss map equation.

Keywords: surfaces of revolution, pointwise $1$-type Gauss map, pseudo-Galilean space

MSC numbers: 53A35, 53B30