Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds

Authors : Ömer Aksu, Mehmet Gülbahar

Pages : 83-94

Doi:10.53570/jnt.1381549

View : 79 | Download : 90

Publication Date : 2023-12-31

Article Type : Research Paper

Abstract :Hermite-like manifolds, which admit two different, almost complex structures, can be considered a general concept of Hermitian manifolds. Factoring in the effects of these two complex structures on the radical, screen, and transversal spaces, a new classification of lightlike hypersurfaces of Hermite-like manifolds is proposed in the present paper. Moreover, an example of screen semi-invariant lightlike hypersurfaces of Hermite-like manifolds is provided. Besides, some results on these hypersurfaces admitting a statistical structure are obtained. Further, screen semi-invariant lightlike hypersurfaces are investigated on Kaehler-like statistical manifolds. In addition, several characteristics of totally geodesic, mixed geodesic, and totally umbilical screen lightlike hypersurfaces are obtained. Finally, the need for further research is discussed.
Keywords : Hermite like manifolds, complex structures, lightlike hypersurfaces