Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Cusps in Real Projective Manifolds: Classification   A generalized cusp $C$ is diffeomorphic to $[0,\infty)$ times a closed
Euclidean manifold. Geometrically $C$ is the quotient of a properly convex
domain by a lattice, $\Gamma$, in one of a family of affine groups $G(\psi)$,
parameterized by a point $\psi$ in the (dual closed) Weyl chamber for
$SL(n+1,\mathbb{R})$, and $\Gamma$ determines the cusp up to equivalence. These
affine groups correspond to certain fibered geometries, each of which is a
bundle over an open simplex with fiber a horoball in hyperbolic space, and the
lattices are classified by certain Bieberbach groups plus some auxiliary data.
The cusp has finite Busemann measure if and only if $G(\psi)$ contains
unipotent elements. There is a natural underlying Euclidean structure on $C$
unrelated to the Hilbert metric.

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The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
6
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: supr-con