Submersions of hemi-slant submanifolds

Year 2025, Volume: 54 Issue: 5, 1783 - 1791, 29.10.2025

Bayram Şahin , Gülistan Polat , Akın Levent

https://doi.org/10.15672/hujms.1534584

Abstract

In this paper, we introduce Riemannian submersions of a hemi-slant submanifold of a Kähler manifold by observing the integrability of the anti-invariant distribution of a hemi-slant submanifold and the integrability of the vertical distribution of a Riemannian submersion. Using this notion, we show that the base manifold is a Kähler manifold in the submersion of a hemi-Kaehlerian slant submanifold of an almost Hermitian manifold. We obtain an inequality between the sectional curvature of the hemi-Kaehlerian slant submanifold and the holomorphic sectional curvature of the base manifold. If this inequality becomes equality, a geometric result is given. In addition, the Ricci tensor field on the horizontal distribution along this submersion is also found.

Keywords

Kähler manifold , Riemannian submersion , hemi-slant submanifold , CR-submanifold , holomorphic sectional curvature

Ethical Statement

Conflict of Interests. The authors declare that they have no competing interests. Author’s contributions. All authors contributed equally to this work.

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