Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-intersections of Closed Parametrized Minimal Surfaces in Generic
  Riemannian Manifolds   This article shows that for generic choice of Riemannian metric on a smooth
manifold $M$ of dimension four, all prime compact parametrized minimal surfaces
within $M$ have self-intersections in general position in the following sense:
self-intersections are transverse and the two tangent planes at any
self-intersection point fail to be complex with respect to any orthogonal
complex structure on the ambient manifold $M$. This implies via a result of
Sheldon Chang that $H_2(M;{\mathbb Z})$ is generated by homology classes that
are represented by imbedded minimal surfaces.

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The categories of this paper are: gr-qc
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org