Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Levi-Kahler reduction of CR structures, products of spheres, and toric
  geometry   We study CR geometry in arbitrary codimension, and introduce a process, which
we call the Levi-Kahler quotient, for constructing Kahler metrics from CR
structures with a transverse torus action. Most of the paper is devoted to the
study of Levi-Kahler quotients of toric CR manifolds, and in particular,
products of odd dimensional spheres. We obtain explicit descriptions and
characterizations of such quotients, and find Levi-Kahler quotients of products
of 3-spheres which are extremal in a weighted sense introduced by G. Maschler
and the first author.

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The categories of this paper are: atom-ph
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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: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph