Geodesic
Generalized inequalities of warped product submanifolds of nearly Kenmotsu f -manifolds
Filomat, Tome 33 (2019) no. 19, p. 6283

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DOI

In the present paper, we establish two general sharp inequalities for the squared norm of second fundamental form for mixed totally geodesic warped product pseudo-slant submanifolds of the form M ⊥ × f M θ and M θ × f M ⊥ , in a nearly Kenmotsu f-manifold M, which include the squared norm of the warping function and slant angle. Also, equality cases are verified. We proved that some previous results are trivial from our results. Moreover, we generalized the inequality theorems [3] and [26] from our derived results.
DOI : 10.2298/FIL1919283B
Classification : 53C40, 53C42, 53B25
Keywords: warped product submanifolds, nearly Kenmotsu f -manifolds, pseudo-slant submanifolds, mixed totally geodesic submanifolds 
Yavuz Selim Balkan; Ali H Alkhaldi; Aliya Naaz Siddiqui; Akram Ali. Generalized inequalities of warped product submanifolds of nearly Kenmotsu f -manifolds. Filomat, Tome 33 (2019) no. 19, p. 6283 . doi: 10.2298/FIL1919283B
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     author = {Yavuz Selim Balkan and Ali H Alkhaldi and Aliya Naaz Siddiqui and Akram Ali},
     title = {Generalized inequalities of warped product submanifolds of nearly {Kenmotsu} f -manifolds},
     journal = {Filomat},
     pages = {6283 },
     year = {2019},
     volume = {33},
     number = {19},
     doi = {10.2298/FIL1919283B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1919283B/}
}
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