Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gaussian beams on Zoll manifolds and maximally degenerate Laplacians   Gaussian beams exist along all closed geodesics of a Zoll surface, despite
the fact that the algorithm for constructing them assumes that the closed
geodesics are non-degenerate. Similarly, there exists a global Birkhoff normal
for a Zoll Laplacian despite the degeneracy. We explain why both algorithms
work in the Zoll case and give an exact formula for the sub-principal normal
form invariant. In the case of "maximally degenerate" Zoll Laplacians, this
invariant vanishes and we obtain new geometric constraints on such Zoll
metrics.

21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio