Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds

Yıl 2023, Sayı: 45, 83 - 94, 31.12.2023

Ömer Aksu Mehmet Gülbahar

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

Öz

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.

Anahtar Kelimeler

Hermite-like manifolds, complex structures, lightlike hypersurfaces

Proje Numarası

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

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