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Öğe Chen's Type Inequality forWarped Product Pseudo-slant Submanifolds of Kenmotsu f-manifolds(Univ Nis, Fac Sci Math, 2019) Balkan, Yavuz Selim; Alkhaldi, Ali H.In the present paper, we consider non-trivial warped product pseudo slant submanifolds of type M-perpendicular to X-f M-theta and M-theta X-f M-perpendicular to of Kenmotsu f-manifold (M) over bar. Firstly, we get some basic properties of these type warped product submanifolds. Then, we prove the general sharp inequalities for mixed totally geodesic warped product pseudo slant submanifolds and also we consider equality cases. Also generalizes some previous inequalities as well.Öğe A CLASS OF phi-RECURRENT ALMOST COSYMPLECTIC SPACE(Honam Mathematical Soc, 2018) Balkan, Yavuz Selim; Uddin, Siraj; Alkhaldi, Ali H.In this paper, we study phi-recurrent almost cosymplectic (k, mu)-space and prove that it is an eta-Einstein manifold with constant coefficients. Next, we show that a three-dimensional locally phi-recurrent almost cosymplectic (k, mu)-space is the space of constant curvature.Öğe Generalized Inequalities of Warped Product Submanifolds of Nearly Kenmotsu f-Manifolds(Univ Nis, Fac Sci Math, 2019) Balkan, Yavuz Selim; Alkhaldi, Ali H.; Siddiqui, Aliya Naaz; Ali, AkramIn the present paper, we establish two general sharp inequalities for the squared norm of second fundamental form for mixed totally geodesic warped product pseudo-slant submanifolds of the form M-perpendicular to x(f) M-theta and M-theta x(f) M-perpendicular to, in a nearly Kenmotsu f-manifold (M) over bar, which include the squared norm of the warping function and slant angle. Also, equality cases are verified. We proved that some previous results are trivial from our results. Moreover, we generalized the inequality theorems [3] and [26] from our derived results.Öğe A New Class of f-Structures Satisfying f(3) - f=0(Univ Nis, Fac Sci Math, 2018) Balkan, Yavuz Selim; Uddin, Siraj; Stankovic, Mica S.; Alkhaldi, Ali H.In this study, we introduce a new class of pseudo f-structure, called hyperbolic f-structure. We give some classifications of this new structure. Further, we extend the notion of (kappa, mu, nu)-nullity distribution to hyperbolic almost Kenmotsu f-manifolds. Finally, we construct some non-trivial examples of such manifolds.