Geometry of Statistical Sequential Warped Product Manifolds.
Kankonde Ilunga - · International Journal For Multidisciplinary Research · 2024
The main purpose of the present study is to generalize the dualistic structures, specially the statistical structures on warped product manifolds to statistical structures on sequential warped product manifolds. On the one hand we proved that the statistical structure on sequential warped product manifold induces statistical on the factors and conversely. On the other hand we proved that if the statistical warped product is dually at space, then the base manifold is also dually at and ber is a space form, i.e. of constant sectional curvature.