Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Willmore spheres in quaternionic projective space   The Willmore energy for Frenet curves in quaternionic projective space is the
generalization of the Willmore functional for immersions into the 4-sphere.
Critical points of the Willmore energy are called Willmore curves in
quaternionic projective space.
  Using a Baecklund transformation on Willmore curves, we generalize Bryant's
result on Willmore spheres in 3--space: a Willmore sphere in quaternionic
projective space has integer Willmore energy, and is given by complex
holomorphic data.

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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int