Journal for Geometry and Graphics 29 (2025), No. 2, 149--159
Copyright by the authors licensed under CC BY SA 4.0
Poisson Structures Compatible with the Metric of the Three-Dimensional Walker Manifold
Mahamane Saminou Ali
Département Sciences Fondamentales, Université d’Agadez, Niger
mahamanesaminou@gmail.com
Ibrahima Hamidine
Département de Mathématiques et Informatique, Université Abdou Moumouni, Niamey, Niger
ibrahima.hamidine@uam.edu.ne,
Issa Ousmane Toudou
Faculté des Sciences et Techniques, Université Boubakar Ba de Tillabéri, Tillabéri, Niger
outoud26@yahoo.fr
Mouhamadou Hassirou
Département de Mathématiques et Informatique, Université Abdou Moumouni, Niamey, Niger
mouhamadouhassirou@gamil.com
The object of the present paper is to construct a characterization of a three-dimensional Walker-Poisson manifolds with Walker metric; in other words, study the compatibility between Walker and Poisson structures. Some examples are given.
Keywords: Poisson manifold, Poisson structure, Walker manifold, Walker metric.
MSC: 53C15; 53C17, 53D10, 53D17, 70G45.
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