Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on nontrivial intersection for selfmaps of complex Grassmann
  manifolds   Let $G(k,n)$ be the complex Grassmann manifold of $k$-planes in $\mathbb
C^{k+n}$. In this note, we show that for $1<k<n$ and for any selfmap
$f:G(k,n)\to G(k,n)$, there exists a $k$-plane $V^k\in G(k,n)$ such that
$f(V^k)\cap V^k\ne \{0\}$.

29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg