Geometric inequalities and equality conditions for slant submersions in Kenmotsu space forms

Md Aquib; Ibrahim Al-Dayel; Mohd Iqbal; Meraj Ali Khan; Md Aquib; Ibrahim Al-Dayel; Mohd Iqbal; Meraj Ali Khan

doi:10.3934/math.2025406

AIMS Mathematics

2025, Volume 10, Issue 4: 8873-8890. doi: 10.3934/math.2025406

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Research article

Geometric inequalities and equality conditions for slant submersions in Kenmotsu space forms

1.
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box-65892, Riyadh 11566, Saudi Arabia
2.
Department of Mathematics, Atma Ram Sanatan Dharma College, South Campus, University of Delhi, Delhi, India
Correction on: AIMS Mathematics 10: 16744-16745.

Received: 17 February 2025 Revised: 04 April 2025 Accepted: 09 April 2025 Published: 18 April 2025
MSC : 53B05, 53B20, 53C40

This study explored specific inequalities related to the scalar and Ricci curvatures of slant submersions in Kenmotsu space forms. We derived important geometric bounds and systematically investigated the conditions under which these bounds converge to equality. These findings enlarge the current setup of curvature inequalities and offer new findings on the geometric properties of slant submersions of contact structures.
- Ricci curvature,
- submersion,
- slant submersion,
- Kenmotsu space forms
Citation: Md Aquib, Ibrahim Al-Dayel, Mohd Iqbal, Meraj Ali Khan. Geometric inequalities and equality conditions for slant submersions in Kenmotsu space forms[J]. AIMS Mathematics, 2025, 10(4): 8873-8890. doi: 10.3934/math.2025406

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Abstract

This study explored specific inequalities related to the scalar and Ricci curvatures of slant submersions in Kenmotsu space forms. We derived important geometric bounds and systematically investigated the conditions under which these bounds converge to equality. These findings enlarge the current setup of curvature inequalities and offer new findings on the geometric properties of slant submersions of contact structures.

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