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

Biswabismita Bag; Meraj Ali Khan; Tanumoy Pal; Shyamal Kumar Hui; Biswabismita Bag; Meraj Ali Khan; Tanumoy Pal; Shyamal Kumar Hui

doi:10.3934/math.2025373

AIMS Mathematics

2025, Volume 10, Issue 4: 8131-8143. doi: 10.3934/math.2025373

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

1.
Department of Mathematics, The University of Burdwan, Golapbag, Burdwan 713104, West Bengal, India
2.
Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University, Riyadh 11566, Saudi Arabia
3.
A.M.J. High School, Mankhamar, Bankura 722144, West Bengal, India
4.
Department of Mathematics, The University of Burdwan, Golapbag, Burdwan 713104, West Bengal, India

Received: 24 January 2025 Revised: 21 March 2025 Accepted: 26 March 2025 Published: 09 April 2025
MSC : 53C40, 53C42, 53C42

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.
- submanifolds,
- warped product manifolds,
- semi-slant submanifolds,
- metallic Riemannian manifolds
Citation: Biswabismita Bag, Meraj Ali Khan, Tanumoy Pal, Shyamal Kumar Hui. Geometric analysis on warped product semi-slant submanifolds of a locally metallic Riemannian space form[J]. AIMS Mathematics, 2025, 10(4): 8131-8143. doi: 10.3934/math.2025373

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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.

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