Pointwise hemislant submersions from cosymplectic manifolds

Authors

  • Meltem Karaismailoğlu Department of Mathematics, Art and Science Faculty, Kırşehir Ahi Evran University, Turkey
  • Sezin Aykurt Sepet Department of Mathematics, Art and Science Faculty, Kırşehir Ahi Evran University, Turkey
  • Mahmut Ergüt Department of Mathematics, Art and Science Faculty, Tekirdaǧ Namık Kemal University, Turkey

DOI:

https://doi.org/10.3842/umzh.v77i8.8710

Keywords:

Riemannian submersion, pointwise hemi-slant submersion, cosymplectic manifold, pluriharmonicity, cosymplectic space form, inequality

Abstract

UDC 514.7

We study pointwise hemislant submersions as a generalization of pointwise slant submersions and hemislant submersions from  cosymplectic manifolds onto Riemannian manifolds. We investigate the integrability of distributions and the geometry of totally geodesic foliations  arising from the definition of these submersions. Moreover, we study the  $\phi$-pluriharmonicity of these maps and  obtain some inequalities connecting the Ricci curvature with the scalar curvature, depending on whether $\xi$ is vertical or horizontal, for pointwise hemislant submersions from cosymplectic space forms onto Riemannian manifolds.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 8, 2025.

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Published

11.09.2025

Issue

Vol. 77 No. 8 (2025)

Section

Research articles

License

Copyright (c) 2025 Meltem Karaismailoğlu, Sezin Aykurt Sepet, Mahmut Ergüt

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Karaismailoğlu, Meltem, et al. “Pointwise Hemislant Submersions from Cosymplectic Manifolds”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 8, Sept. 2025, pp. 533–534, https://doi.org/10.3842/umzh.v77i8.8710.