A general inequality for pointwise semi-slant warped products in nearly Kenmotsu manifolds | Zendy

Siraj Uddin | Zendy; Ashwaq Altalhi | Zendy; Nadia Alluhaibi | Zendy

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A general inequality for pointwise semi-slant warped products in nearly Kenmotsu manifolds

Author(s) -

Siraj Uddin,

Ashwaq Altalhi,

Nadia Alluhaibi

Publication year - 2022

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2201221u

Subject(s) - pointwise , mathematics , submanifold , manifold (fluid mechanics) , pure mathematics , inequality , product (mathematics) , mathematical analysis , geometry , mechanical engineering , engineering

In this paper, we prove that every pointwise semi-slant warped product submanifold M = NT xf N? in a nearly Kenmotsu manifold ?M satisfies the following inequality: ||h||2 ? 2n2 (1 + 10/9 cot2?)(|| ??(lnf)||2-1), where n2 = dimN?, ??(ln f) is the gradient of ln f and ||h|| is the length of the second fundamental form of M. The equality and special cases of the inequality are investigated.

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