Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds

Year 2023, Issue: 45, 83 - 94, 31.12.2023

Ömer Aksu Mehmet Gülbahar

https://doi.org/10.53570/jnt.1381549

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

Project Number

This work was supported by the Scientific and Technological Research Council of Turkey (TÜBİTAK) with project number 122F326.

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