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

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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Publication Details

Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.2025373
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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0.00
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article

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

Shyamal Kumar Hui, Tanumoy Pal, Meraj Ali Khan, Biswabismita Bag
AIMS Mathematics
Geometric Analysis and Curvature Flows
article

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

Shyamal Kumar Hui, Tanumoy Pal, Meraj Ali Khan, Biswabismita Bag
article en

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.

AIMS MathematicsVol. 10(4)
University of Burdwan (IN), Imam Mohammad ibn Saud Islamic University (SA), Bankura University (IN)
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Openalex Percentile: Top 90%
Geometric Analysis and Curvature Flows
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