Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong deformation retraction of the space of Zoll Finsler projective
  planes   We show that the infinite-dimensional space of Zoll Finsler metrics on the
projective plane strongly deformation retracts to the canonical round metric.
In particular, this space of Zoll Finsler metrics is connected. Moreover, the
strong deformation retraction arises from a deformation of the geodesic flow of
every Zoll Finsler projective plane to the geodesic flow of the round metric
through a family of smooth free circle actions induced by the curvature flow of
the canonical round projective plane. This construction provides a description
of the geodesics of the Zoll Finsler metrics along the retraction.

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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc