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Research Article | Open Access

Geometric analysis on warped product semi-slant submanifolds of a locally metallic Riemannian space form

Biswabismita Bag1, Meraj Ali Khan2( ), Tanumoy Pal3, Shyamal Kumar Hui4
Department of Mathematics, The University of Burdwan, Golapbag, Burdwan 713104, West Bengal, India
Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University, Riyadh 11566, Saudi Arabia
A.M.J. High School, Mankhamar, Bankura 722144, West Bengal, India
Department of Mathematics, The University of Burdwan, Golapbag, Burdwan 713104, West Bengal, India
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Abstract

In this paper, we study warped product semi-slant submanifolds of locally metallic Riemannian manifolds. A Chen-type inequality for such submanifolds is derived. We construct a non trivial example of such classes of submanifolds. We also provide several applications of the obtained inequality.

Keywords

submanifoldswarped product manifoldssemi-slant submanifoldsmetallic Riemannian manifolds
CLC number: 53C40, 53C42, 53C42

References

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AIMS Mathematics
Volume 10 Issue 4,
April 2025
Pages 8131-8143
DOI: 10.3934/math.2025373

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Cite this article:
Bag B, Ali Khan M, Pal T, et al. Geometric analysis on warped product semi-slant submanifolds of a locally metallic Riemannian space form. AIMS Mathematics, 2025, 10(4): 8131-8143. https://doi.org/10.3934/math.2025373

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Received: 24 January 2025
Revised: 21 March 2025
Accepted: 26 March 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)