Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transnormal Functions and Focal Varieties on Finsler Manifolds   In this paper, we study transnormal functions and their level sets and focal
varieties on complete Finsler manifolds. We prove that the focal varieties of a
C2 transnormal function are smooth submanifolds and each regular level set is a
tube over either of the focal varieties.

5
The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph