Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Fundamental Theorem for submanifolds of multiproducts of real space
  forms   We prove a Bonnet theorem for isometric immersions of submanifolds into the
products of an arbitrary number of simply connected real space forms. Then, we
prove the existence of associated families of minimal surfaces in such
products. Finally, in the case of $\mathbb{S}^2\times\mathbb{S}^2$, we give a
complex version of the main theorem in terms of the two canonical complex
structures of $\mathbb{S}^2\times\mathbb{S}^2$.

29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph