Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X43120170222Application of Hopf's lemma on contact CR-warped product submanifolds of a nearly Kenmotsu manifold95107997ENM. A.KhanDepartment of Mathematics, University of Tabuk, Kingdom of Saudi Arabia.F. R.Al-SolamyDepartment of Mathematics, King Abdulaziz University, P.O. Box 80015, Jeddah 21589,
Kingdom of Saudi Arabia.Journal Article20150322In this paper we consider contact CR-warped product submanifolds of the type $M = N_T\times_f N_\perp$, of a nearly Kenmotsu generalized Sasakian space form $\bar M(f_1, f_2, f_3)$ and by use of Hopf's 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.http://bims.iranjournals.ir/article_997_1702cd4c9ca4b5fd2b83f2047f8faeef.pdf