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Mathématiques   > Accueil   > Avancées en Mathématiques Pures et Appliquées   > Numéro 3 (Juin 2024)   > Article

Une nouvelle connection semi-symétrique et non-métrique sur les produits déformés

A new semi-symmetric non-metric connection on warped products


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

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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