Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective Cartan-Tanaka connections on C6-smooth strongly pseudoconvex
  hypersurfaces M3 of C2   In a recent expository article (Notices of the AMS, 58 (2011), no. 1, 20-27),
Ezhov, McLaughlin and Schmalz showed how to perform in an effective way
Tanaka's prolongation procedure valid generally for filtered structures of
constant type when the distribution is equipped with an integrable complex
structure, so as to derive the principal curvature invariants and (co)frame(s)
associated to strongly pseudoconvex real hypersurfaces M3 in C2, an approach
which is alternative and complementary to the `hyperspherical' connection of
Elie Cartan, and to the so-called calculi of Fefferman, of Chern-Moser, of
Webster. By choosing an initial frame for TM which is explicit in terms of a
local graphing function v = f(x, y, u) for M, we provide a Cartan-Tanaka
connection all elements of which are completely explicit in terms of f(x, y,
u), assuming only C6-smoothness of M. The Gaussian requirement for systematic
computational effectiveness then shows - a bit unexpectedly - that the two main
curvatures are rational differential expressions in the sixth-order jet of f(x,
y, u), the lengths of which are about 1000 pages long on a computer - just for
the simplest instance of local embedded CR geometry. Large parts of the memoir
aim at formulating general statements that will be useful for further
constructions of Cartan-Tanaka connections related to the equivalence problem
for (local) embedded CR manifolds whose CR-automorphism group is not
semi-simple, cf. e.g. some model lists by Beloshapka.

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The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
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The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc