Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: HyperKahler contact Distribution in 3-Sasakain Manifolds   In this paper, the HyperKahler contact distribution of a 3-Sasakian manifold
is studied. To analyze the curvature properties of this distribution, the
special metric connection $\bar{\nabla}$ is defined. This metric connection is
completely determined by HyperKahler contact distribution. We prove that
HyperKahler contact distribution is of constant holomorphic sectional
curvatures if and only if its 3-Sasakian manifold is of constant
$\varphi_{\alpha}$-sectional curvatures. Moreover, it is shown that there is an
interesting relation between the sectional curvatures of
$\varphi_{\alpha}$-planes on $TM$ of metric connection $\bar{\nabla}$ and the
Levi-Civita connection.

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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga