Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some Remarks on the Hyperk\"ahler Reduction   We consider a hyperk\"ahler reduction and describe it via frame bundles.
Tracing the connection through the various reductions, we recover the results
of Gocho and Nakajima. In addition, we show that the fibers of such a reduction
are necessarily totally geodesic. As an independent result, we describe
O'Neill's submersion tensors on principal bundles.

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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org