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Dergiler / Konuralp Journal of Mathematics / 2026 / Volume: 9 Issue: 1

A Classification of Strict Walker 3-Manifold

Athoumane Nıang(Université Cheikh Anta Diop)
Ameth Ndiaye(Université Cheikh Anta Diop)
Abdoul Salam Diallo(Université Alioune Diop de Bambey)
Sayfa
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Yayın Tarihi
2021-04-28
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The local degeneracy (resp. non-degeneracy) of one of this family has a strong consequence on the geometry of the ambiant Walker manifold.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper we give two special families of ruled surfaces in a three dimensional strict Walker manifold.
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Temel Bulgular & Veri:In this paper we give two special families of ruled surfaces in a three dimensional strict Walker manifold.
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Sonuç & Katkı:The local degeneracy (resp. non-degeneracy) of one of this family has a strong consequence on the geometry of the ambiant Walker manifold.
🔬Tür:Review
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Minimal surfaces · Lorentz Manifold · Ruled surfaces

Abstract

In this paper we give two special families of ruled surfaces in a three dimensional strict Walker manifold. The local degeneracy (resp. non-degeneracy) of one of this family has a strong consequence on the geometry of the ambiant Walker manifold.

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Bu Makaleye Atıf Yap

Nıang, A., Ndiaye, A., Diallo, A. S. (2021). A Classification of Strict Walker 3-Manifold. Konuralp Journal of Mathematics, Volume: 9 Issue: 1. https://ajindex.com/articles/1521633

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Kaynakça (11)

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  2. M. P. do Carmo, Differential geometry of curves and surfaces, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1976. viii+503 pp. 190-191.
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  5. A. S. Diallo, A. Ndiaye and A. Niang, Minimal graphs on three-dimensional Walker manifolds, To appear.
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  7. A. Niang, Surfaces minimales réglées dans l'espace de Minkowski ou Euclidien orienté de dimension 3, Afrika Mat. 15 (2003), (3), 117-127.
  8. K. Nomizu and T. Sasaki, Affne Differential Geometry. Geometry of Affne Immersions. Cambridge Tracts in Mathematics Vol. 111 (Cambridge University Press, Cambridge, (1994).
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