Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weakly symmetry of a class of g-natural metrics on tangent bundles   Considering the class G of g-natural metrics on the tangent bundle of a
Riemannian manifold (M, g), it is shown that the flatnees for g is a necessary
and sufficient condition of weakly symmetry (recurrent or pseudo-symmetry) of
G. In particular, the cases of weakly symmetric Sasakian lift metric studied by
Bejan and Crasmareanu and recurrent or pseudo-symmetric Sasakian lift metric
studied by Binh and Tamassy are obtained.

17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas