Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partially hyperbolic diffeomorphisms with one-dimensional neutral center
  on 3-manifolds   We prove that for any partially hyperbolic diffeomorphism with one
dimensional neutral center on a 3-manifold, the center stable and center
unstable foliations are complete; moreover, each leaf of center stable and
center unstable foliations is a cylinder, a M$\ddot{o}$bius band or a plane.
  Further properties of the Bonatti-Parwani-Potrie type of partially hyperbolic
diffeomorphisms are studied. Such examples are obtained by composing the time
$m$-map (for $m>0$ large) of a non-transitive Anosov flow $\phi_t$ on an
orientable 3-manifold with Dehn twists along some transverse tori, and the
examples are partially hyperbolic with one-dimensional neutral center. We prove
that the center foliation gives a topologically Anosov flow which is
topologically equivalent to $\phi_t$. We also prove that for the precise
example constructed by Bonatti-Parwani-Potrie, the center stable and center
unstable foliations are robustly complete.

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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: cs