Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Cauchy-Kowalevsky theorem for overdetermined systems of nonlinear
  partial differential equations and geometric applications   We consider a Cauchy problem for an overdetermined system of PDEs, and give
necessary and sufficient conditions for solvability of this Cauchy problem for
all data. As an application, we find all real tube hypersurfaces in complex
space whose Levi number is maximal.

34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an