Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abundance of elliptic dynamics on conservative 3-flows   We consider a compact 3-dimensional boundaryless Riemannian manifold M and
the set of divergence-free (or zero divergence) vector fields without
singularities, then we prove that this set has a C1-residual such that any
vector field inside it is Anosov or else its elliptical orbits are dense in the
manifold M.

35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom