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Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 2

Conformal anti-invariant submersions from cosymplectic manifolds

Mehmet Akif AKYOL
Pages
177–192
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Moreover, we examine necessary and sufficient conditions for a conformal anti-invariant submersion to be totally geodesic and check the harmonicity of such submersions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We introduce conformal anti-invariant submersions from cosymplectic manifolds onto Riemannian manifolds.
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Key Findings & Data:We give an example of a conformal anti-invariant submersion such that characteristic vector field $\xi$ is vertical.
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Conclusion & Impact:Moreover, we examine necessary and sufficient conditions for a conformal anti-invariant submersion to be totally geodesic and check the harmonicity of such submersions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Cosymplectic manifold · Conformal submersion · Conformal anti-invariant submersion

Abstract

We introduce conformal anti-invariant submersions from cosymplectic manifolds onto Riemannian manifolds. We give an example of a conformal anti-invariant submersion such that characteristic vector field $\xi$ is vertical. We investigate the geometry of foliations which are arisen from the definition of a conformal submersion and show that the total manifold has certain product structures. Moreover, we examine necessary and sufficient conditions for a conformal anti-invariant submersion to be totally geodesic and check the harmonicity of such submersions.

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Cite This Article

AKYOL, M. A. (2022). Conformal anti-invariant submersions from cosymplectic manifolds. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 2, 177–192. https://ajindex.com/articles/529996

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