Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-Fuchsian co-Minkowski manifolds   This survey is an introduction to the geometry of co-Minkowksi space, the
space of unoriented spacelike hyperplanes of the Minkowski space. Affine
deformations of cocompact lattices of hyperbolic isometries act on it, in a way
similar to the way that quasi-Fuchsian groups act on hyperbolic space. In
particular, there is a convex core. There is also a unique "mean" hypersurface,
i.e. with traceless second fundamental form. The mean distance between the mean
hypersurface and the lower boundary of the convex core endows the space of
affine deformations of a given lattice with an asymmetric norm. The
symmetrization of the asymmetric norm is simply the volume of the convex core.
  In dimension 2+1, the asymmetric norm is the total length of the bending
lamination of the lower boundary component of the convex core. We obtain an
extrinsic proof of a theorem of Thurston saying that, on the tangent space of
Teichm\"{u}ller space, the total length of measured geodesic laminations is an
asymmetric norm.
  We also exhibit and comment the Anosov-like character of these deformations,
similar to the Anosov character of the quasi-Fuchsians representations pointed
out in Guichard--Wienhard.

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The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci