Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Kobayashi metric, extremal discs, and biholomorphic mappings   We study extremal discs for the Kobayashi metric. Inspired by work of Lempert
on strongly convex domains, we present results on strongly pseudoconvex
domains.
  We also consider a useful biholomorphic invariant, inspired by the Kobayashi
(and Carath\'{e}odory) metric, and prove several new results about
biholomorphic equivalence of domains. Some useful results about automorphism
groups of complex domains are also established.

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The categories of this paper are: supr-con
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex