Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear cocycles over hyperbolic systems and criteria of conformality   In this paper we study Holder continuous linear cocycles over transitive
Anosov diffeomorphisms. Under various conditions of relative pinching we
establish properties including existence and continuity of measurable invariant
sub-bundles and conformal structures. We use these results to obtain criteria
for cocycles to be isometric or conformal in terms of their periodic data. We
show that if the return maps at the periodic points are, in a sense, conformal
or isometric then so is the cocycle itself with respect to a Holder continuous
Riemannian metric.

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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom