Contact CR-warped product submanifolds of a generalized Sasakian space form admitting a nearly Sasakian structure
Volume 12, Issue 7, pp 440--449
http://dx.doi.org/10.22436/jnsa.012.07.03
Publication Date: March 09, 2019
Submission Date: December 01, 2018
Revision Date: February 14, 2019
Accteptance Date: February 21, 2019
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Authors
Amira A. Ishan
- Department of Mathematics, Taif University, Taif, Kingdom of Saudi Arabia.
Meraj Ali Khan
- Department of Mathematics, University of Tabuk, Kingdom of Saudi Arabia.
Abstract
This paper studies the contact CR-warped product submanifolds of a generalized Sasakian space form admitting a nearly Sasakian structure. Some Characterization of the existence of these warped product submanifolds are also obtained. We illustrate that the warping function is a harmonic function under certain conditions. Moreover, a sharp estimate for the squared norm of the second fundamental form is investigated, and the equality case is also discussed. The results obtained in this paper generalize the results that have appeared in [I. Hasegawa, I. Mihai, Geom. Dedicata, \({\bf 102}\) (2003), 143--150], [I. Mihai, Geom. Dedicata, \({\bf 109}\) (2004), 165--173}], and [M. Atceken, Hacet. J. Math. Stat., \({\bf 44}\) (2015), 23--32].
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ISRP Style
Amira A. Ishan, Meraj Ali Khan, Contact CR-warped product submanifolds of a generalized Sasakian space form admitting a nearly Sasakian structure, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 7, 440--449
AMA Style
Ishan Amira A., Khan Meraj Ali, Contact CR-warped product submanifolds of a generalized Sasakian space form admitting a nearly Sasakian structure. J. Nonlinear Sci. Appl. (2019); 12(7):440--449
Chicago/Turabian Style
Ishan, Amira A., Khan, Meraj Ali. "Contact CR-warped product submanifolds of a generalized Sasakian space form admitting a nearly Sasakian structure." Journal of Nonlinear Sciences and Applications, 12, no. 7 (2019): 440--449
Keywords
- Warped products
- CR-submanifolds
- nearly Sasakian manifolds
MSC
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