Geodesic
Geometry of contact skew CR-warped product submanifolds of Sasakian manifolds
Filomat, Tome 36 (2022) no. 18, p. 6159

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DOI

In this paper, we study warped products of contact skew-CR submanifolds, called contact skew CR-warped products. We establish a lower bound relationship between the squared norm of the second fundamental form and the warping function. The equality case of the inequality is investigated and some special cases of derived inequality are given. Furthermore, we provide non-trivial examples of such submanifolds.
DOI : 10.2298/FIL2218159U
Classification : 53B25, 53B20, 53C15, 53C25, 53C42, 53D10
Keywords: warped products, slant, semi-slant submanifolds, pseudo-slant submanifolds, contact skew CR-submanifolds, Sasakian manifolds 
Siraj Uddin; Falleh R Al-Solamy; Fatimah Alghamdi; Reem Al-Ghefari. Geometry of contact skew CR-warped product submanifolds of Sasakian manifolds. Filomat, Tome 36 (2022) no. 18, p. 6159 . doi: 10.2298/FIL2218159U
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     author = {Siraj Uddin and Falleh R Al-Solamy and Fatimah Alghamdi and Reem Al-Ghefari},
     title = {Geometry of contact skew {CR-warped} product submanifolds of {Sasakian} manifolds},
     journal = {Filomat},
     pages = {6159 },
     year = {2022},
     volume = {36},
     number = {18},
     doi = {10.2298/FIL2218159U},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2218159U/}
}
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