Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contracting automorphisms and L^p-cohomology in degree one   We characterize those Lie groups, and algebraic groups over a local field of
characteristic zero, whose first reduced L^p-cohomology is zero for all p>1,
extending a result of Pansu. As an application, we obtain a description of
Gromov-hyperbolic groups among those groups. In particular we prove that any
non-elementary Gromov-hyperbolic algebraic group over a non-Archimedean local
field of zero characteristic is quasi-isometric to a 3-regular tree. We also
extend the study to semidirect products of a general locally compact group by a
cyclic group acting by contracting automorphisms.

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The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex