Lifts of a Semi-Symmetric Metric Connection from Sasakian Statistical Manifolds to Tangent Bundle

Rajesh Kumar, Sameh Shenawy, Nasser Bin Turki (), Lalnunenga Colney and Uday Chand De
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Rajesh Kumar: Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796004, India
Sameh Shenawy: Basic Science Department, Modern Academy for Engineering and Technology, Maadi 4410242, Egypt
Nasser Bin Turki: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Lalnunenga Colney: Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796004, India
Uday Chand De: Department of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata 700019, India

Mathematics, 2024, vol. 12, issue 2, 1-14

Abstract: The lifts of Sasakian statistical manifolds associated with a semi-symmetric metric connection in the tangent bundle are characterized in the current research. The relationship between the complete lifts of a statistical manifold with semi-symmetric metric connections and Sasakian statistical manifolds with a semi-symmetric metric connection in the tangent bundle is investigated. We also discuss the classification of Sasakian statistical manifolds with respect to semi-symmetric metric connections in the tangent bundle. Finally, we derive an example of the lifts of Sasakian statistical manifolds to the tangent bundle.

Keywords: Sasakian statistical manifolds; statistical manifolds; vertical and complete lifts; tangent bundle; semi-symmetric metric connection; partial differential equations; mathematical operators (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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