HELICOIDAL SURFACES IN THE THREE-DIMENSIONAL LORENTZ-MINKOWSKI SPACE SATISFYING ΔIIr = Ar

Bendehiba SENOUSSI; Mohammed BEKKAR

doi:10.2206/kyushujm.67.327

Kyushu Journal of Mathematics

Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116

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HELICOIDAL SURFACES IN THE THREE-DIMENSIONAL LORENTZ-MINKOWSKI SPACE SATISFYING Δ^IIr = Ar

Bendehiba SENOUSSI, Mohammed BEKKAR

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Keywords: Laplacian operator, surfaces in the Lorentz-Minkowski space, surfaces of coordinate finite type.

JOURNAL FREE ACCESS

2013 Volume 67 Issue 2 Pages 327-338

DOI https://doi.org/10.2206/kyushujm.67.327

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Abstract

In this paper we study the helicoidal surfaces in the three-dimensional Lorentz-Minkowski space under the condition Δ^IIr = Ar, where A is a real 3 × 3 matrix and Δ^IIis the Laplace operator with respect to the second fundamental form.

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