Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Longitudinal KAM-cocycles and action spectra of magnetic flows   Let $M$ be a closed oriented surface and let $\Omega$ be a non-exact 2-form.
Suppose that the magnetic flow $\phi$ of the pair $(g,\Omega)$ is Anosov. We
show that the longitudinal KAM-cocycle of $\phi$ is a coboundary if and only
the Gaussian curvature is constant and $\Omega$ is a constant multiple of the
area form thus extending the results in \cite{P2}. We also show infinitesimal
rigidity of the action spectrum of $\phi$ with respect to variations of
$\Omega$. Both results are obtained by showing that if $G:M\to\mathbb R$ is any
smooth function and $\omega$ is any smooth 1-form on $M$ such that
$G(x)+\omega_{x}(v)$ integrates to zero along any closed orbit of $\phi$, then
$G$ must be identically zero and $\omega$ must be exact.

36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph