Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of $*$-$k$-Ricci-Yamabe soliton and gradient
  $*$-$k$-Ricci-Yamabe soliton on Kenmotsu manifolds   The goal of the current paper is to characterize $*$-$k$-Ricci-Yamabe soliton
within the framework on Kenmotsu manifolds. Here, we have shown the nature of
the soliton and find the scalar curvature when the manifold admitting
$*$-$k$-Ricci-Yamabe soliton on Kenmotsu manifold. Next, we have evolved the
characterization of the vector field when the manifold satisfies
$*$-$k$-Ricci-Yamabe soliton. Also we have embellished some applications of
vector field as torse-forming in terms of $*$-$k$-Ricci-Yamabe soliton on
Kenmotsu manifold. Then, we have studied gradient $\ast$-$\eta$-Einstein
soliton to yield the nature of Riemannian curvature tensor. We have developed
an example of $*$-$k$-Ricci-Yamabe soliton on 5-dimensional Kenmotsu manifold
to prove our findings.

10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin