Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On bundles that admit fiberwise hyperbolic dynamics   This paper is devoted to rigidity of smooth bundles which are equipped with
fiberwise geometric or dynamical structure. We show that the fiberwise
associated sphere bundle to a bundle whose leaves are equipped with
(continuously varying) metrics of negative curvature is a topologically trivial
bundle when either the base space is simply connected or, more generally, when
the bundle is fiber homotopically trivial. We present two very different proofs
of this result: a geometric proof and a dynamical proof. We also establish a
number of rigidity results for bundles which are equipped with fiberwise Anosov
dynamical systems. Finally, we present a number of examples which show that our
results are sharp in certain ways or illustrate necessity of various
assumptions.

34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex