Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Study of Solitons on submanifolds of Kenmotsu statistical manifolds   The differential geometry of Kenmotsu manifold is a valuable part of contact
geometry with nice applications in other fields such as theoretical physics.
Theoretical physicists have also been looking into the equation of Ricci
soliton and Yamabe soliton in relation with Einstein manifolds, Quasi Einstein
manifolds and string theory. In this research servey, we examine the Ricci
solitons and Yamabe soliton on statistical counterpart of a Kenmotsu manifold,
that is, Kenmotsu statistical manifold with some related examples. We
investigate some statistical curvature properties of Kenmotsu statistical
manifolds. Also, we study the almost $\eta$-Ricci solitons on submanifolds of
Kenmotsu statistical manifold with concircular vector field. Furthermore, we
have also discuss the behavior of almost quasi-Yamabe soliton on subamnifolds
of Kenmotsu statistical manifolds endowed with concircular vector field and
concurrent vector filed. Finally, we have furnish an example of $5$-dimensional
Kenmotsu statistical manifolds admitting the $\eta$-Ricci soliton and almost
quasi-Yamabe soliton as well.

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The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
19
The categories of this paper are: eess
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The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
1
The categories of this paper are: cs