Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ricci $\rho$-solitons on 3-dimensional $\eta$-Einstein almost Kenmotsu
  mandifolds   In this paper the notion of Ricci $\rho$-soliton as a generalization of Ricci
soliton is defined. We are motivated by the Ricci-Bourguignon flow to define
this concept. We show that if a 3- dimensional almost Kenmotsu Einstein
manifold $M$ be a $\rho$-soliton, then $M$ is a Kenmotsu manifold of constant
sectional curvature $-1$ and the $\rho$-soliton is expanding, with $\lambda
=2$.

11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex