On lightlike geometry of indefinite Sasakian statistical manifolds

On lightlike geometry of indefinite Sasakian statistical manifolds

In the present study, the concept of Sasakian statistical manifold has been generalized to indefinite Sasakian statistical manifolds. We also introduce lightlike hypersurfaces of an indefinite Sasakian statistical manifold and establish relations between induced geometrical objects with respect to d...

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Bibliographic Details
Main Author: Oğuzhan Bahadır
Format: Article
Language:English
Published: AIMS Press 2021-09-01
Series:AIMS Mathematics
Subjects:
lightlike hypersurface
statistical manifolds
dual connections
indefinite sasakian
indefinite sasakian statistical manifold
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021741?viewType=HTML
Description
Summary:In the present study, the concept of Sasakian statistical manifold has been generalized to indefinite Sasakian statistical manifolds. We also introduce lightlike hypersurfaces of an indefinite Sasakian statistical manifold and establish relations between induced geometrical objects with respect to dual connections. Finally, invariant lightlike submanifold of indefinite Sasakian statistical manifold is proved to be an indefinite Sasakian statistical manifold.
ISSN:2473-6988

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