Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Planes in degenerate 3-manifolds   We study totally geodesic planes in hyperbolic 3-manifolds $M$ having
incompressible core and degenerate ends. We prove a Ratner-type phenomenon: a
closed minimal $PSL(2,R)-$invariant subset of $M$ is either an immersed totally
geodesic surface or all of $M$. We also show that for an arbitrary infinite
volume hyperbolic 3-manifold $M$ without parabolics and with finitely generated
fundamental group, the number of compact totally geodesic surfaces in $M$ is
finite.

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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg