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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 53 Issue: 5

Pointwise hemi-slant Riemannian maps ($\mathcal{PHSRM}$) from almost Hermitian manifolds

Mehmet Akif Akyol(BINGOL UNIVERSITY)0000-0003-2334-6955
Yılmaz Gündüzalp(DICLE UNIVERSITY)0000-0002-0932-949X
Pages
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Publication Date
2024-10-15
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AI Summary & Key Takeaways

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

Finally, we study some curvature relations in complex space form, involving Chen inequalities and Casorati curvatures for $\mathcal{PHSRM}$, respectively.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In 2022, the notion of pointwise slant Riemannian maps were introduced by Y.
📊
Key Findings & Data:Phys. {179}, 104589, 2022] as a natural generalization of slant Riemannian maps, slant Riemannian submersions, slant submanifolds.
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Conclusion & Impact:Finally, we study some curvature relations in complex space form, involving Chen inequalities and Casorati curvatures for $\mathcal{PHSRM}$, respectively.
🔬Design:Research Article
📍Scope:2022 Verileri
⚙️Variables:Riemannian map · Hermitian manifold · slant Riemannian map

Abstract

In 2022, the notion of pointwise slant Riemannian maps were introduced by Y. Gündüzalp and M. A. Akyol in [J. Geom. Phys. {179}, 104589, 2022] as a natural generalization of slant Riemannian maps, slant Riemannian submersions, slant submanifolds. As a generalization of pointwise slant Riemannian maps and many subclasses notions, we introduce pointwise hemi-slant Riemannian maps (briefly, $\mathcal{PHSRM}$) from almost Hermitian manifolds to Riemannian manifolds, giving a figure which shows the subclasses of the map and a non-trivial (proper) example and investigate some properties of the map, we deal with their properties: the J-pluriharmonicity, the J-invariant, and the totally geodesicness of the map. Finally, we study some curvature relations in complex space form, involving Chen inequalities and Casorati curvatures for $\mathcal{PHSRM}$, respectively.

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Cite This Article

Akyol, M. A., Gündüzalp, Y. (2024). Pointwise hemi-slant Riemannian maps ($\mathcal{PHSRM}$) from almost Hermitian manifolds. Hacettepe Journal of Mathematics and Statistics, Volume: 53 Issue: 5. https://doi.org/10.15672/hujms.1219010

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