Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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GEOMETRY OF SOME SUBMANIFOLDS IN A 3-DIMENSIONAL WALKER MANIFOLD

  • Franck Houenou (Department of Mathematics, Faculty of Sciences and Techniques, University of Abomey Calavi) ;
  • Ameth Ndiaye (Departement de Mathematiques, FASTEF, Universite Cheikh Anta Diop) ;
  • Moussa Koivogui (Ecole Superieure Africaine des Technologies de l'Information et de Communication)
  • Received : 2024.04.20
  • Accepted : 2024.09.17
  • Published : 2024.12.20
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Abstract

In this work, we study the geometric properties of curves and surfaces in a Walker 3-dimensional manifold. We characterize and give a geometric description of normal and binormal surfaces passing through a giving curve. We deduce the geometries of such surfaces from those of the curve.

Keywords

Acknowledgement

The authors would like to thank the editor for the kind handling of the work. They also express their gratitude to the reviewers for their prompt and valuable contributions and comments helping improve the scientific quality of the paper.

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