Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of spherical Lagrangian submanifolds in complex Euclidean
  spaces   An isometric immersion $f:M^n\to \tilde M^n$ from a Riemannian $n$-manifold
$M^n$ into a K\"ahler $n$-manifold $\tilde M^n$ is called {\it Lagrangian} if
the complex structure $J$ of the ambient manifold $\tilde M^n$ interchanges
each tangent space of $M^n$ with the corresponding normal space. In this paper,
we completely classify spherical Lagrangian submanifolds in complex Euclidean
spaces. Furthermore, we also provide two corresponding classification theorems
for Lagrangian submanifolds in the complex pseudo-Euclidean spaces with
arbitrary complex index.

21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio