Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pointwise partial hyperbolicity in 3-dimensional nilmanifolds   We show the existence of a family of manifolds on which all (pointwise or
absolutely) partially hyperbolic systems are dynamically coherent. This family
is the set of 3-manifolds with nilpotent, non-abelian fundamental group. We
further classify the partially hyperbolic systems on these manifolds up to leaf
conjugacy. We also classify those systems on the 3-torus which do not have an
attracting or repelling periodic 2-torus. These classification results allow us
to prove some dynamical consequences, including existence and uniqueness
results for measures of maximal entropy and quasi-attractors.

27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol