Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds

Beran Pirinççi

doi:10.26650/ijmath.2025.00023

Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds

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.

Keywords

References

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Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Authors

Beran Pirinççi ^*
0000-0002-4692-9590
Türkiye

Publication Date

June 24, 2025

Submission Date

April 20, 2025

Acceptance Date

June 2, 2025

Published in Issue

Year 2025 Volume: 3 Number: 1

DOI

https://doi.org/10.26650/ijmath.2025.00023

IZ

https://izlik.org/JA47ZZ77LA

Cite

RIS / Bibtex

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

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

Chicago

Pirinççi, Beran. 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.

EndNote

Pirinççi B (June 1, 2025) Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds. Istanbul Journal of Mathematics 3 1 20–33.

IEEE

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

JAMA

1.Pirinççi B. Curvature Relations for Lagrangian Submersions From Globally Conformal Kaehler Manifolds. Istanbul Journal of Mathematics. 2025;3:20–33.

MLA

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

Vancouver

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