JP Journal of Geometry and Topology

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FAMILY OF RULED SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN A 3-DIMENSIONAL STRICT WALKER MANIFOLD

Authors

  • Papa Aly Cisse
  • Mamadou Eramane Bodian
  • Ameth Ndiaye

Keywords:

minimal surfaces, Lorentz manifolds, ruled surfaces, Walker manifolds

DOI:

https://doi.org/10.17654/0972415X26001

Abstract

In this paper, we consider two special families of ruled surfaces in a three-dimensional Walker manifold which look like the ruled surfaces in a three-dimensional semi-Euclidean space. We obtain a necessary and sufficient condition for such a surface to be pointwise 1-type Gauss map. We obtain also, by the use of the concept of pointwise 1-type Gauss map, a characterization theorem for ruled surfaces of constant mean curvature.

Received: August 22, 2025
Revised: September 20, 2025
Accepted: September 25, 2025

References

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[18] A. Niang, A. Ndiaye and A. S. Diallo, A classification of strict Walker 3 manifold, Konuralp J. Math. 9(1) (2021), 148-153.

[19] A. Niang, A. Ndiaye and A. S. Diallo, Minimals translation surfaces in a strict Walker 3-manifold, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 73(2) (2024), 554-568.

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Published

2025-12-31

Issue

Vol. 32 No. 1 (2026)

Section

Articles

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How to Cite

FAMILY OF RULED SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN A 3-DIMENSIONAL STRICT WALKER MANIFOLD. (2025). JP Journal of Geometry and Topology, 32(1), 1-18. https://doi.org/10.17654/0972415X26001

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