Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on Einstein solitons with certain types of potential vector
  field   We consider almost Einstein solitons $(V,\lambda)$ in a Riemannian manifold
when $V$ is a gradient, a solenoidal or a concircular vector field. We
explicitly express the function $\lambda$ by means of the gradient vector field
$V$ and illustrate the result with suitable examples. Moreover, we deduce some
geometric properties when the Ricci curvature tensor of the manifold satisfies
certain symmetry conditions.

18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio