ON ROTATION SURFACES IN THE MINKOWSKI 3-DIMENSIONAL SPACE WITH POINTWISE 1-TYPE GAUSS MAP

Athoumane Niang

doi:10.4134/JKMS.2004.41.6.1007

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ON ROTATION SURFACES IN THE MINKOWSKI 3-DIMENSIONAL SPACE WITH POINTWISE 1-TYPE GAUSS MAP

Journal title : Journal of the Korean Mathematical Society
Volume 41, Issue 6, 2004, pp.1007-1021
Publisher : The Korean Mathematical Society
DOI : 10.4134/JKMS.2004.41.6.1007

Title & Authors

ON ROTATION SURFACES IN THE MINKOWSKI 3-DIMENSIONAL SPACE WITH POINTWISE 1-TYPE GAUSS MAP
Athoumane Niang;

Abstract

In this paper, we study rotation surfaces in the Minkowski 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;

Language

English

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4time(s) in CrossRef

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SURFACES OF REVOLUTION SATISFYING ΔIIG = f(G + C), Bulletin of the Korean Mathematical Society, 2013, 50, 4, 1061

Helicoidal surfaces satisfying $${\Delta ^{II}\mathbf{G}=f(\mathbf{G}+C)}$$ Δ II G = f ( G + C ), Journal of Geometry, 2016, 107, 3, 523

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