Geodesic
Contact CR-warped product submanifolds of a generalized Sasakian space form admitting a nearly Sasakian structure
Ishan, Amira A. 1 ; Khan, Meraj Ali 2
1 Department of Mathematics, Taif University, Taif, Kingdom of Saudi Arabia
2 Department of Mathematics, University of Tabuk, Kingdom of Saudi Arabia
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 7, p. 440-449.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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].
DOI : 10.22436/jnsa.012.07.03
Classification : 53C25, 53C40, 53C42, 53D15
Keywords: Warped products, CR-submanifolds, nearly Sasakian manifolds

Ishan, Amira A.  1 ; Khan, Meraj Ali  2

1 Department of Mathematics, Taif University, Taif, Kingdom of Saudi Arabia
2 Department of Mathematics, University of Tabuk, Kingdom of Saudi Arabia 
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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 its applications, Tome 12 (2019) no. 7, p. 440-449. doi : 10.22436/jnsa.012.07.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.07.03/

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