Mathématiques > Accueil > Avancées en Mathématiques Pures et Appliquées > Numéro 3 (Juin 2024) > Article
El Moctar El Id Mohamed
Université de Nouakchott
Mauritanie
Abdoul Salam Diallo
Université Alioune DIOP de Bambey
Sénégal
Lessiad Ahmed Sid Ahmed
Université de Nouakchott
Mauritanie
Publié le 12 juin 2024 DOI : 10.21494/ISTE.OP.2024.1172
In this paper we study warped products endowed with a new semi-symmetric non-metric connection, which, we called Diallo-Massamba connection. We establish relationships between the Diallo-Massamba connection of the warped product to those of the base and the fiber. Also, we derive the curvature formulas for warped products with the Diallo-Massamba connection in terms of curvatures of its components. Examples of Diallo-Massamba connection are also given.
In this paper we study warped products endowed with a new semi-symmetric non-metric connection, which, we called Diallo-Massamba connection. We establish relationships between the Diallo-Massamba connection of the warped product to those of the base and the fiber. Also, we derive the curvature formulas for warped products with the Diallo-Massamba connection in terms of curvatures of its components. Examples of Diallo-Massamba connection are also given.
Levi-Civita connection Semi-symmetric non-metric connection Warped product
Levi-Civita connection Semi-symmetric non-metric connection Warped product