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Dergiler / International Electronic Journal of Geometry / 2024 / Volume: 17 Issue: 2

On Locally Conformal Kaehler Submersions

Çağrıhan Çimen(MARMARA UNIVERSITY, FACULTY OF ARTS AND SCIENCES, DEPARTMENT OF MATHEMATICS, MATHEMATICS PR.)0009-0000-6331-9615
Beran Pirinççi(ISTANBUL UNIVERSITY, FACULTY OF SCIENCE, DEPARTMENT OF MATHEMATICS)0000-0002-4692-9590
Hakan Mete Taştan(ISTANBUL UNIVERSITY, FACULTY OF SCIENCE, DEPARTMENT OF MATHEMATICS)0000-0002-0773-9305
Deniz Ulusoy(Istinye University, Dept. of Management Information Systems)0000-0002-0742-4047
Sayfa
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Yayın Tarihi
2024-10-27
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Finally, we get Chen-Ricci inequalities for locally conformal Kaehler space form submersions and Hopf space form submersions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We study locally conformal Kaehler submersions, i.e., almost Hermitian submersions whose total manifolds are locally conformal Kaehler.
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Temel Bulgular & Veri:Then, we proved that the horizontal distribution of such a submersion is integrable iff $\tilde{\mathcal{A}} \equiv 0$.
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Sonuç & Katkı:Finally, we get Chen-Ricci inequalities for locally conformal Kaehler space form submersions and Hopf space form submersions.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Locally conformal Kaehler manifold · almost Hermitian submersion · Hopf space form submersion

Abstract

We study locally conformal Kaehler submersions, i.e., almost Hermitian submersions whose total manifolds are locally conformal Kaehler. We prove that the vertical distribution of a locally conformal Kaehler submersion is totally geodesic iff the Lee vector field of total manifold is vertical. We also obtain the O'Neill tensors $\tilde{\mathcal{A}}$ and $\tilde{\mathcal{T}}$ with respect to the Weyl connection of a locally conformal Kaehler submersion. Then, we proved that the horizontal distribution of such a submersion is integrable iff $\tilde{\mathcal{A}} \equiv 0$. Finally, we get Chen-Ricci inequalities for locally conformal Kaehler space form submersions and Hopf space form submersions.

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Bu Makaleye Atıf Yap

Çimen, Ç., Pirinççi, B., Taştan, H. M., Ulusoy, D. (2024). On Locally Conformal Kaehler Submersions. International Electronic Journal of Geometry, Volume: 17 Issue: 2. https://doi.org/10.36890/iejg.1461324

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Kaynakça (14)

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