Screen Generic Transversal Lightlike Submanifolds
Abstract
In this study, we introduce screen generic transversal lightlike submanifolds of indefinite Kaehler manifolds. We show that this new class is an umbrella of invariant (complex), screen real, SCR, radical ST and ST anti-invariant lightlike submanifolds. We investigate the integrability of various distributions and prove a characterization theorem of such lightlike submanifolds in a complex space form. We obtain new conditions for the induced connection to be a metric connection and we find some necessary and sufficient conditions for minimal screen generic transversal lightlike submanifolds. Moreover, we provide some examples of screen generic transversal lightlike submanifold and minimal screen generic transversal lightlike submanifold of an indefinite Kaehler manifold.
Keywords
Supporting Institution
TÜBİTAK
Project Number
123F450
Thanks
This paper is supported by the Scientific and Technological Council of Turkey (T\"{U}BITAK) with project number 123F450.
References
- [1] M. Barros and A. Romero, Indefinite Kaehler manifolds, Math. Ann., 261, 55-62, 1982.
Details
Primary Language
English
Subjects
Algebraic and Differential Geometry
Journal Section
Research Article
Early Pub Date
December 30, 2025
Publication Date
December 30, 2025
Submission Date
May 13, 2025
Acceptance Date
November 21, 2025
Published in Issue
Year 2026 Number: Advanced Online Publication
APA
Poyraz, N., & Akyol, M. A. (2025). Screen Generic Transversal Lightlike Submanifolds. Hacettepe Journal of Mathematics and Statistics, Advanced Online Publication. https://doi.org/10.15672/hujms.1693527
AMA
1.Poyraz N, Akyol MA. Screen Generic Transversal Lightlike Submanifolds. Hacettepe Journal of Mathematics and Statistics. 2025;(Advanced Online Publication). doi:10.15672/hujms.1693527
Chicago
Poyraz, Nergiz, and Mehmet Akif Akyol. 2025. “Screen Generic Transversal Lightlike Submanifolds”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication. https://doi.org/10.15672/hujms.1693527.
EndNote
Poyraz N, Akyol MA (December 1, 2025) Screen Generic Transversal Lightlike Submanifolds. Hacettepe Journal of Mathematics and Statistics Advanced Online Publication
IEEE
[1]N. Poyraz and M. A. Akyol, “Screen Generic Transversal Lightlike Submanifolds”, Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, Dec. 2025, doi: 10.15672/hujms.1693527.
ISNAD
Poyraz, Nergiz - Akyol, Mehmet Akif. “Screen Generic Transversal Lightlike Submanifolds”. Hacettepe Journal of Mathematics and Statistics. Advanced Online Publication (December 1, 2025). https://doi.org/10.15672/hujms.1693527.
JAMA
1.Poyraz N, Akyol MA. Screen Generic Transversal Lightlike Submanifolds. Hacettepe Journal of Mathematics and Statistics. 2025. doi:10.15672/hujms.1693527.
MLA
Poyraz, Nergiz, and Mehmet Akif Akyol. “Screen Generic Transversal Lightlike Submanifolds”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, Dec. 2025, doi:10.15672/hujms.1693527.
Vancouver
1.Nergiz Poyraz, Mehmet Akif Akyol. Screen Generic Transversal Lightlike Submanifolds. Hacettepe Journal of Mathematics and Statistics. 2025 Dec. 1;(Advanced Online Publication). doi:10.15672/hujms.1693527