On lightlike geometry of indefinite Sasakian statistical manifolds

AIMS Mathematics

Oğuzhan Bahadır¹ 

[1] Department of Mathematics, Kahramanmaras Sutçu Imam University, Kahramanmaras 46050, Turkey;

关键词: lightlike hypersurface;    statistical manifolds;    dual connections;    indefinite sasakian;    indefinite sasakian statistical manifold;   

DOI  :  10.3934/math.2021741

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown