Geometry of Statistical Sequential Warped Product Manifolds.

Author(s)	Kankonde Ilunga
Country	Congo (Democratic)
Abstract	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.
Keywords	dual connections, warped product of manifolds, sequential warped product of manifolds, statistical structures,Riemannian manifolds.
Field	Mathematics > Maths + Physics
Published In	Volume 6, Issue 5, September-October 2024
Published On	2024-09-24
Cite This	Geometry of Statistical Sequential Warped Product Manifolds. - Kankonde Ilunga - IJFMR Volume 6, Issue 5, September-October 2024. DOI 10.36948/ijfmr.2024.v06i05.26613
DOI	https://doi.org/10.36948/ijfmr.2024.v06i05.26613
Short DOI	https://doi.org/g5knvx

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