Pointwise sequential warped products in locally product Riemannian manifolds

In this paper, we study sequential warped product submanifolds of locally product Riemannian manifolds when one of the fiber is a pointwise slant submanifold. We derive a basic inequality known as Chen’s first inequality for the second fundamental form. The equality case of the derived inequality is discussed and some special cases of Chen’s inequality are given. Furthermore, two nontrivial examples are given, one of them satisfies Chen’s inequality.

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Publication Details

Journal
International Journal of Geometric Methods in Modern Physics
Published
2024-11-21
DOI
https://doi.org/10.1142/s021988782550063x
Primary Topic
Morphological variations and asymmetry
Type
article
Field-Weighted Citation Impact
0.00
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article

Pointwise sequential warped products in locally product Riemannian manifolds

Siraj Uddin, Monia Naghi, Najwa Mohammed Al-Asmari
International Journal of Geometric Methods in Modern Physics
Morphological variations and asymmetry
article

Pointwise sequential warped products in locally product Riemannian manifolds

Siraj Uddin, Monia Naghi, Najwa Mohammed Al-Asmari
article en

Abstract

In this paper, we study sequential warped product submanifolds of locally product Riemannian manifolds when one of the fiber is a pointwise slant submanifold. We derive a basic inequality known as Chen’s first inequality for the second fundamental form. The equality case of the derived inequality is discussed and some special cases of Chen’s inequality are given. Furthermore, two nontrivial examples are given, one of them satisfies Chen’s inequality.

International Journal of Geometric Methods in Modern PhysicsVol. 22(09)
King Abdulaziz University (SA), Jamia Millia Islamia (IN), King Khalid University (SA)
Openalex Percentile: Top 68%
Morphological variations and asymmetry
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