The object of this article is to define and study the Clairaut semi-invariant ξ⊥ -Riemannian submersions (Csi-ξ⊥ submersions, In short) from Kenmotsu manifolds onto Riemannian manifolds. We obtain necessary sufficient condition for a ξ⊥-Riemannian submersion be Csi-ξ⊥-Riemannian submersion. also work out on some fundamental differential geometric properties these submersions. Moreover, we prese...

In this paper, we have dened and studied a generalized form of topological vector spaces called s-topological vector spaces. s-topological vector spaces are dened by using semi-open sets and semi-continuity in the sense of Levine. Along with other results, it is proved that every s-topological vector space is generalized homogeneous space. Every open subspace of an s-topological vector space is...

planning robot trajectory is a complex task that plays a significant role in design and application of robots in task space. the problem is formulated as a trajectory optimization problem which is fundamentally a constrained nonlinear optimization problem. open-loop optimal control method is proposed as an approach for trajectory optimization of cable parallel manipulator for a given two-end-po...