Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the average indices of closed geodesics on positively curved Finsler
  spheres   In this paper, we prove that on every Finsler $n$-sphere $(S^n, F)$ for $n\ge
6$ with reversibility $\lambda$ and flag curvature $K$ satisfying
$(\frac{\lambda}{\lambda+1})^2<K\le 1$, either there exist infinitely many
prime closed geodesics or there exist $[\frac{n}{2}]-2$ closed geodesics
possessing irrational average indices. If in addition the metric is bumpy, then
there exist $n-3$ closed geodesics possessing irrational average indices
provided the number of closed geodesics is finite.

0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin