Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2005; 42(1): 23-27

Printed March 1, 2005

Copyright © The Korean Mathematical Society.

Rotation surfaces with $1$-type Gauss map

Athoumane Niang

Universite Montpellier II

Abstract

In this paper, we study rotation surfaces in a Euclidean space with pointwise $1$-type Gauss map and obtain by the use of the concept of pointwise finite type Gauss map, a characterization theorem for rotation surfaces of constant mean curvature.

Keywords: Laplacian, Gauss map, pointwise 1-type

MSC numbers: 53B25, 53C40