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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 55 Issue: 3

Screen generic transversal lightlike submanifolds

Nergiz Poyraz(CUKUROVA UNIVERSITY)0000-0002-8110-712X
Mehmet Akif Akyol(USAK UNIVERSITY)0000-0003-2334-6955
Pages
—
Publication Date
2025-12-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, we provide some examples of screen generictransversal lightlike submanifold and minimal screen generic transversallightlike submanifold of an indefinite Kaehler manifold.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we introduce screen generic transversal lightlikesubmanifolds of indefinite Kaehler manifolds.
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Key Findings & Data:We show that this new class isan umbrella of invariant (complex), screen real, SCR, radical ST and STanti-invariant lightlike submanifolds.
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Conclusion & Impact:Moreover, we provide some examples of screen generictransversal lightlike submanifold and minimal screen generic transversallightlike submanifold of an indefinite Kaehler manifold.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:indefinite Kaehler manifold · lightlike submanifold · screen generic transversal lightlike submanifold

Abstract

In this study, we introduce screen generic transversal lightlikesubmanifolds of indefinite Kaehler manifolds. We show that this new class isan umbrella of invariant (complex), screen real, SCR, radical ST and STanti-invariant lightlike submanifolds. We investigate the integrability ofvarious distributions and prove a characterization theorem of such lightlikesubmanifolds in a complex space form. We obtain new conditions for theinduced connection to be a metric connection and we find some necessary andsufficient conditions for minimal screen generic transversal lightlikesubmanifolds. Moreover, we provide some examples of screen generictransversal lightlike submanifold and minimal screen generic transversallightlike submanifold of an indefinite Kaehler manifold.

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Cite This Article

Poyraz, N., Akyol, M. A. (2025). Screen generic transversal lightlike submanifolds. Hacettepe Journal of Mathematics and Statistics, Volume: 55 Issue: 3. https://doi.org/10.15672/hujms.1693527

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