Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rigidity of minimal submanifolds in hyperbolic space   We prove that if an $n$-dimensional complete minimal submanifold $M$ in
hyperbolic space has sufficiently small total scalar curvature then $M$ has
only one end. We also prove that for such $M$ there exist no nontrivial $L^2$
harmonic 1-forms on $M$.

3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an