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DOI :10.26650/ijmath.2025.00023   IUP :10.26650/ijmath.2025.00023    Tam Metin (PDF)

Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds

Beran Pirinççi

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.

Anahtar Kelimeler: Riemannian submersion, Lagrangian submersion, globally conformal Kaehler manifold, Chen-Ricci inequality

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Referanslar

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DIŞA AKTAR



APA

Pirinççi, B. (2025). Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds. Istanbul Journal of Mathematics, 3(1), 20-33. https://doi.org/10.26650/ijmath.2025.00023


AMA

Pirinççi B. Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds. Istanbul Journal of Mathematics. 2025;3(1):20-33. https://doi.org/10.26650/ijmath.2025.00023


ABNT

Pirinççi, B. Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds. Istanbul Journal of Mathematics, [Publisher Location], v. 3, n. 1, p. 20-33, 2025.


Chicago: Author-Date Style

Pirinççi, Beran,. 2025. “Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds.” Istanbul Journal of Mathematics 3, no. 1: 20-33. https://doi.org/10.26650/ijmath.2025.00023


Chicago: Humanities Style

Pirinççi, Beran,. “Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds.” Istanbul Journal of Mathematics 3, no. 1 (Jul. 2025): 20-33. https://doi.org/10.26650/ijmath.2025.00023


Harvard: Australian Style

Pirinççi, B 2025, 'Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds', Istanbul Journal of Mathematics, vol. 3, no. 1, pp. 20-33, viewed 20 Jul. 2025, https://doi.org/10.26650/ijmath.2025.00023


Harvard: Author-Date Style

Pirinççi, B. (2025) ‘Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds’, Istanbul Journal of Mathematics, 3(1), pp. 20-33. https://doi.org/10.26650/ijmath.2025.00023 (20 Jul. 2025).


MLA

Pirinççi, Beran,. “Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds.” Istanbul Journal of Mathematics, vol. 3, no. 1, 2025, pp. 20-33. [Database Container], https://doi.org/10.26650/ijmath.2025.00023


Vancouver

Pirinççi B. Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds. Istanbul Journal of Mathematics [Internet]. 20 Jul. 2025 [cited 20 Jul. 2025];3(1):20-33. Available from: https://doi.org/10.26650/ijmath.2025.00023 doi: 10.26650/ijmath.2025.00023


ISNAD

Pirinççi, Beran. “Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds”. Istanbul Journal of Mathematics 3/1 (Jul. 2025): 20-33. https://doi.org/10.26650/ijmath.2025.00023



ZAMAN ÇİZELGESİ


Gönderim20.04.2025
Kabul02.06.2025
Çevrimiçi Yayınlanma24.06.2025

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