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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2020 / Volume: 69 Issue: 2

Pointwise bi-slant submersions from cosymplectic manifolds

Sezin Aykurt Sepet(KIRŞEHİR AHİ EVRAN ÜNİVERSİTESİ)0000-0003-1521-6798
Mahmut Ergüt(TEKİRDAĞ NAMIK KEMAL ÜNİVERSİTESİ)0000-0002-9098-8280
Pages
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Publication Date
2020-12-31
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Also we obtain necessary and sufficient conditions for such submersions to be totally geodesic maps.

📌 3 Key Takeaways

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Objective & Hypothesis:We introduce pointwise bi-slant submersions from cosymplectic manifolds onto Riemannian manifolds as a generalization of anti-invariant, semi-invariant, semi-slant, hemi-slant, pointwise semi-slant, pointwise hemi-slant and pointwise slant Riemannian submersions.
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Key Findings & Data:We give an example for pointwise bi-slant submersions and investigate integrability and totally geodesicness of the distributions which are mentioned in the definition of pointwise bi-slant submersions admitting vertical Reeb vector field.
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Conclusion & Impact:Also we obtain necessary and sufficient conditions for such submersions to be totally geodesic maps.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Riemannian submersion · pointwise bi-slant submersion · cosymplectic manifold

Abstract

We introduce pointwise bi-slant submersions from cosymplectic manifolds onto Riemannian manifolds as a generalization of anti-invariant, semi-invariant, semi-slant, hemi-slant, pointwise semi-slant, pointwise hemi-slant and pointwise slant Riemannian submersions. We give an example for pointwise bi-slant submersions and investigate integrability and totally geodesicness of the distributions which are mentioned in the definition of pointwise bi-slant submersions admitting vertical Reeb vector field. Also we obtain necessary and sufficient conditions for such submersions to be totally geodesic maps.

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Cite This Article

Sepet, S. A., Ergüt, M. (2020). Pointwise bi-slant submersions from cosymplectic manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 2. https://doi.org/10.31801/cfsuasmas.650697

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