Statistical Submanifolds Equipped with F-Statistical Connections
Esmaeil Peyghan,
Leila Nourmohammadifar,
Ion Mihai
Abstract:This paper deals with statistical submanifolds and a family of statistical connections on them. The geometric structures such as the second fundamental form, curvatures tensor, mean curvature, statistical Ricci curvature and the relations among them on a statistical submanifold of a statistical manifold equipped with F-statistical connections are examined. The equations of Gauss and Codazzi of F-statistical connections are obtained. Such structures when the statistical submanifolds are conjugate symmetric are … Show more
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