Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrability of C^1 invariant splittings   We derive some new conditions for integrability of dynamically defined C^1
invariant splittings in arbitrary dimension and co-dimension. In particular we
prove that every 2-dimensional C^1 invariant decomposition on a 3-dimensional
manifold satisfying a volume domination condition is uniquely integrable. In
the special case of volume preserving diffeomorphisms we show that standard
dynamical domination is already sufficient to guarantee unique integrability.

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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat