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Silver Structures on the Riemann Extensions Open
In the present paper we deal with an $n-$dimensional differentiable manifold $M$ with a torsion-free linear connection $\nabla $. Here we study some properties of a silver structure on the cotangent bundle ${{T}^{*}}M$ equipped with the Ri…
Golden Riemannian submersions Open
In this paper, we study a Golden Riemannian submersion between Golden Riemannian manifolds. Here, we investigate the geometric properties of such a submersion and obtain some results. Also, we study the relations between the Ricci curvatur…
Chen invariants for Riemannian submersions and their applications Open
In this paper, an optimal inequality involving the delta curvature is exposed. With the help of this inequality some characterizations about the vertical motion and the horizontal divergence are obtained.
Some applications of η−Ricci solitons to contact Riemannian submersions Open
The aim of this paper is to study a contact Riemannian submersion ? : M ? B between almost contact metric manifolds such that its total space M admits an ??Ricci soliton. Here, we obtain some necessary conditions for which any fiber of ? a…
Contact-Complex Riemannian Submersions Open
A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. T…
Some special vector fields on a cosymplectic manifold admitting a Ricci soliton Open
In this paper, we deal with the geometric properties of cosymplectic manifold.We give some classifications for a cosymplectic manifold endowed with some special vector fields, such as contact, concircular, recurrent, torse-forming and some…
Some remarks on Riemannian submersions admitting an almost Yamabe soliton Open
In this paper, we study the Riemannian submersions $\pi:M\rightarrow B$ whose total manifolds admit an almost Yamabe soliton. Here, we give some necessary conditions for which any fiber of $\pi$ or $B$ are almost Yamabe soliton or Yamabe s…
On Submanifolds of Riemannian Manifolds Admitting a Ricci Soliton Open
The aim of this paper is to study the conditions under which a submanifold of a Ricci soliton is also a Ricci soliton or an almost Ricci soliton. We give here a classification for Ricci solitons and their submanifolds according to their ex…
On submanifolds of Kenmotsu manifold with Torqued vector field Open
In this paper, we consider the submanifold $M$ of a Kenmotsu manifold $\tilde M$ endowed with torqued vector field $\mathcal{T}$. Also, we study the submanifold $M$ admitting a Ricci soliton of both Kenmotsu manifold $\tilde M$ and Kenmots…
On generic submanifold of Sasakian manifold with concurrent vector field Open
In the present paper, we deal with the generic submanifold admitting a Ricci soliton in Sasakian manifold endowed with concurrent vector field. Here, we find that there exists never any concurrent vector field on the invariant distribution…
Riemannian Submersions Whose Total Manifolds Admitting a Ricci Soliton Open
In this paper, we study Riemannian submersions whose total manifolds admitting a Ricci soliton. Here, we characterize any fiber of such a submersion is Ricci soliton or almost Ricci soliton. Indeed, we obtain necessary conditions for which…
Riemannian Submersions Whose Total Manifolds Admitting a Ricci Soliton Open
In this paper, we study Riemannian submersions whose total manifolds admitting a Ricci soliton. Here, we characterize any fiber of such a submersion is Ricci soliton or almost Ricci soliton. Indeed, we obtain necessary conditions for which…
Some Inequalities for Ricci Solitons Open
We deal with a submanifold of a Ricci soliton $(\\bar{M},\\bar{g},V,\\lambda)$ and obtainthat under what conditions such a submanifold is Ricci soliton. Moreover, we establish some inequalities for Ricci solitons to obtain the relationship…
Chen invariants for Riemannian submersions and their applications in meteorology Open
In this paper, an optimal inequality involving the delta curvature is exposed. An application of Riemannian submersions dealing meteorology is presented. Some characterizations about the vertical motion and the horizontal divergence are ob…