Title of article :
Application of Hopfʹs lemma on contact CR-warped product submanifolds of a nearly Kenmotsu manifold
Author/Authors :
-، - نويسنده Department of Mathematics, University of Tabuk, Kingdom of Saudi Arabia. Khan, M. A. , -، - نويسنده Department of Mathematics, King Abdulaziz University, P.O. Box 80015, Jeddah 21589,
Kingdom of Saudi Arabia. Al-Solamy, F. R.
Issue Information :
دوماهنامه با شماره پیاپی 0 سال 2017
Abstract :
In this paper we consider contact CR-warped product submanifolds of the type $M = N_Ttimes_f N_perp$, of a nearly Kenmotsu generalized Sasakian space form $bar M(f_1, f_2, f_3)$ and by use of Hopfʹs Lemma we show that $M$ is simply contact CR-product under certain condition. Finally, we establish a sharp inequality for squared norm of the second fundamental form and equality case is discussed. The results in this paper generalize existing results in the literature.
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society