Firstly we provide new characterizations for doubly warped product manifolds. Then consider several types of gradient solitons such as Riemann, Ricci, Yamabe and conformal, examine the effect a soliton on to its factor Finally, investigate concircularly flat conharmonically cases products.

This study proposed an oil palm by-product as a low-cost adsorbent for the removal of hexavalent chromium [Cr (VI)] from aqueous solution. Adsorption of Cr (VI) by sulphuric acid and heat-treated oil palm fibre was conducted using batch tests. The influence of pH, contact time, initial chromium concentration and adsorbent dosage on the removal of Cr (VI) from the solutions was investigated. The...

In this article, we study the problem of existence and nonexistence warping function associated with constant scalar curvature on pseudo-Riemannian Poisson warped product space under assumption that fiber has curvature. We characterize Einstein by taking various dimensions base B (i.e; (1). \(dim B=1,\) (2). \(dimB\ge 2\)).

In this work, we consider a class of Finsler metrics using the warped product notion introduced by Chen et al. [Internat. J. Math. 29 (2018), 1850081], with another “warping”, one that is consistent static spacetimes. We will give PDE characterization for proposed to be Ricci-flat and explicitly construct two non-Riemannian examples.

We consider a compact Lie group with bi-invariant metric, coming from the Killing form. In this paper, we study Einstein warped product space, $M = M_1 \times_{f_1} M_2$ for cases, $(i)$ $M_1$ is $(ii)$ $M_2$ and $(iii)$ both are groups. Moreover, obtain conditions an of groups to become simple manifold. Then, characterize warping function generalized Robertson-Walker spacetime, $(M I G_2, - dt...