Abstract Computer simulation modelling has become one of the cornerstones for automotive safety v... more Abstract Computer simulation modelling has become one of the cornerstones for automotive safety vehicle development. The desire to shorten vehicle design schedules, as well as reduce prototype build and test cycles, is driving the need for more useful and accurate ...
In this paper, we study non-trivial warped product pseudo-slant submanifolds of nearly Kenmotsu m... more In this paper, we study non-trivial warped product pseudo-slant submanifolds of nearly Kenmotsu manifolds. In the beginning, we obtain some lemmas and then develop the general sharp inequalities for mixed totally geodesic warped products pseudo-slant submanifolds. The equality cases are also considered.
Non-existence of warped product semi-slant submanifolds of locally product Riemannian manifolds i... more Non-existence of warped product semi-slant submanifolds of locally product Riemannian manifolds is proved in [3, 21]. In this paper , we study warped products of slant and anti-invariant submanifolds of a locally product Riemannian manifold and we prove the existence of such kind of warped products by a characterization. Also, we construct examples and derive an inequality for the squared norm of the second fundamental form of such immersions in terms of the warping function. M.S.C. 2010: 53C40, 53C42, 53B25.
In this paper, we construct the geometric inequalities for the squared norm of the mean curvature... more In this paper, we construct the geometric inequalities for the squared norm of the mean curvature and warping functions of warped product semi-slant submanifolds in Kenmotsu space forms. The equality cases are also discussed.
Non-existence of warped product semi-slant submanifolds of
locally product Riemannian manifolds i... more Non-existence of warped product semi-slant submanifolds of locally product Riemannian manifolds is proved in [3, 21]. In this pa- per, we study warped products of slant and anti-invariant submanifolds of a locally product Riemannian manifold and we prove the existence of such kind of warped products by a characterization. Also, we construct examples and derive an inequality for the squared norm of the second fundamental form of such immersions in terms of the warping function.
In this paper, we study warped product contact CR-submanifolds of a nearly Sasakian manifold. We ... more In this paper, we study warped product contact CR-submanifolds of a nearly Sasakian manifold. We work out the characterizations in terms of tensor fields under which a contact CR-submanifold of a nearly Sasakian manifold reduces to a warped product submanifold. M.S.C. 2010: 53C40, 53C42, 53B25.
Abstract Computer simulation modelling has become one of the cornerstones for automotive safety v... more Abstract Computer simulation modelling has become one of the cornerstones for automotive safety vehicle development. The desire to shorten vehicle design schedules, as well as reduce prototype build and test cycles, is driving the need for more useful and accurate ...
In this paper, we study non-trivial warped product pseudo-slant submanifolds of nearly Kenmotsu m... more In this paper, we study non-trivial warped product pseudo-slant submanifolds of nearly Kenmotsu manifolds. In the beginning, we obtain some lemmas and then develop the general sharp inequalities for mixed totally geodesic warped products pseudo-slant submanifolds. The equality cases are also considered.
Non-existence of warped product semi-slant submanifolds of locally product Riemannian manifolds i... more Non-existence of warped product semi-slant submanifolds of locally product Riemannian manifolds is proved in [3, 21]. In this paper , we study warped products of slant and anti-invariant submanifolds of a locally product Riemannian manifold and we prove the existence of such kind of warped products by a characterization. Also, we construct examples and derive an inequality for the squared norm of the second fundamental form of such immersions in terms of the warping function. M.S.C. 2010: 53C40, 53C42, 53B25.
In this paper, we construct the geometric inequalities for the squared norm of the mean curvature... more In this paper, we construct the geometric inequalities for the squared norm of the mean curvature and warping functions of warped product semi-slant submanifolds in Kenmotsu space forms. The equality cases are also discussed.
Non-existence of warped product semi-slant submanifolds of
locally product Riemannian manifolds i... more Non-existence of warped product semi-slant submanifolds of locally product Riemannian manifolds is proved in [3, 21]. In this pa- per, we study warped products of slant and anti-invariant submanifolds of a locally product Riemannian manifold and we prove the existence of such kind of warped products by a characterization. Also, we construct examples and derive an inequality for the squared norm of the second fundamental form of such immersions in terms of the warping function.
In this paper, we study warped product contact CR-submanifolds of a nearly Sasakian manifold. We ... more In this paper, we study warped product contact CR-submanifolds of a nearly Sasakian manifold. We work out the characterizations in terms of tensor fields under which a contact CR-submanifold of a nearly Sasakian manifold reduces to a warped product submanifold. M.S.C. 2010: 53C40, 53C42, 53B25.
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Papers by akram ali
locally product Riemannian manifolds is proved in [3, 21]. In this pa-
per, we study warped products of slant and anti-invariant submanifolds
of a locally product Riemannian manifold and we prove the existence of
such kind of warped products by a characterization. Also, we construct
examples and derive an inequality for the squared norm of the second
fundamental form of such immersions in terms of the warping function.
locally product Riemannian manifolds is proved in [3, 21]. In this pa-
per, we study warped products of slant and anti-invariant submanifolds
of a locally product Riemannian manifold and we prove the existence of
such kind of warped products by a characterization. Also, we construct
examples and derive an inequality for the squared norm of the second
fundamental form of such immersions in terms of the warping function.