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Dergiler / Istanbul Journal of Mathematics / 2026 / Volume: 3 Issue: 1

Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds

Beran Pirinççi(İstanbul University, Faculty of Science, Department of Mathematics)0000-0002-4692-9590
Sayfa
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Yayın Tarihi
2025-06-24
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we give some inequalities involving the scalar and Ricci curvatures, and we also provide Chen-Ricci inequality for Lagrangian submersions from globally conformal Kaehler space forms.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we derive curvature identities for Lagrangian submersions from globally conformal Kaehler manifolds onto Rieman nian manifolds.
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Temel Bulgular & Veri:Then, we give a relation between the horizontal lift of the curvature tensor of the base manifold and the curvature tensor of a fiber.
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Sonuç & Katkı:Finally, we give some inequalities involving the scalar and Ricci curvatures, and we also provide Chen-Ricci inequality for Lagrangian submersions from globally conformal Kaehler space forms.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Riemannian submersion · Lagrangian submersion · globally conformal Kaehler manifold

Abstract

In this paper, we derive curvature identities for Lagrangian submersions from globally conformal Kaehler manifolds onto Rieman nian manifolds. Then, we give a relation between the horizontal lift of the curvature tensor of the base manifold and the curvature tensor of a fiber. We examine the necessary and sufficient conditions for the total manifolds of Lagrangian submersions to be Einstein. We also obtain Ricci, scalar, sectional, holomorphic bisectional and holomorphic sectional curvatures for these submer sions. Finally, we give some inequalities involving the scalar and Ricci curvatures, and we also provide Chen-Ricci inequality for Lagrangian submersions from globally conformal Kaehler space forms.

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Bu Makaleye Atıf Yap

Pirinççi, B. (2025). Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds. Istanbul Journal of Mathematics, Volume: 3 Issue: 1. https://doi.org/10.26650/ijmath.2025.00023

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