Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2004; 41(6): 1007-1021

Printed November 1, 2004

Copyright © The Korean Mathematical Society.

On rotation surfaces in the Minkowski $3$-dimensional space with pointwise $1$-type gauss map

Athoumane Niang

Universite' Montpellier II

Abstract

In this paper, we study rotation surfaces in the Minko-wski $3$-dimensional space with pointwise $1$-type Gauss map and obtain by the use of the concept of pointwise finite type Gauss map, a characterization theorem concerning rotation surfaces and constancy of the mean curvature of certain open subsets on these surfaces.

Keywords: Gauss map, Laplacian, pointwise $1$-type

MSC numbers: 53B25, 53C40