Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructions in Sasakian Geometry   We describe various constructions in Sasakian geometry. First we generalize
the join construction of the first two authors to arbitrary Sasakian manifolds.
We then give several examples, including ones which prove the existence of
Sasakian-Einstein metrics on manifolds homeomorphic to $S^2\times S^5.$ Then we
use a generalization of the join construction due to Lerman, namely contact
fibre bundles, to give a theorem constructing toric Sasakian structures.
Finally, we explicitly construct regular toric Sasakian structures on all
simply connected regular contact manifolds in dimension five.

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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: dg-ga