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Research Article | Open Access

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

Md Aquib1( )Ibrahim Al-Dayal1Mohd Iqbal2Meraj Ali Khan1
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box-65892, Riyadh 11566, Saudi Arabia
Department of Mathematics, Atma Ram Sanatan Dharma College, South Campus, University of Delhi, Delhi, India
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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.

CLC number: 53B05, 53B20, 53C40

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AIMS Mathematics
Pages 8873-8890

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Cite this article:
Aquib M, Al-Dayal I, Iqbal M, et al. Geometric inequalities and equality conditions for slant submersions in Kenmotsu space forms. AIMS Mathematics, 2025, 10(4): 8873-8890. https://doi.org/10.3934/math.2025406

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Received: 17 February 2025
Revised: 04 April 2025
Accepted: 09 April 2025
Published: 15 April 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)