Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Finsler transnormal functions   In this note we discuss a few properties of transnormal Finsler functions,
i.e., the natural generalization of distance functions and isoparametric
Finsler functions. In particular, we prove that critical level sets of an
analytic transnormal function are submanifolds, and the partition of $M$ into
level sets is a Finsler partition, when the function is defined on a compact
analytic manifold $M$.

36
The categories of this paper are: cmp-lg
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The categories of this paper are: eess
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an