Open AccessA 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.