Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lie algebraic characterization of manifolds   Results on characterization of manifolds in terms of certain Lie algebras
growing on them, especially Lie algebras of differential operators, are
reviewed and extended. In particular, we prove that a smooth (real-analytic,
Stein) manifold is characterized by the corresponding Lie algebra of linear
differential operators, i.e. isomorphisms of such Lie algebras are induced by
the appropriate class of diffeomorphisms of the underlaying manifolds.

28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas