Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Locally Sasakian Manifolds   We show that every Sasakian manifold in dimension $2k+1$ is locally generated
by a free real function of $2k$ variables. This function is a Sasakian analogue
of the K\"ahler potential for K\"ahler geometry. It is also shown that every
locally Sasakian-Einstein manifold in $2k+1$ dimensions is generated by a
locally K\"ahler-Einstein manifold in dimension $2k$.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat