Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Austere Submanifolds in Complex Projective Space   For an arbitrary submanifold $M \subset \mathbb{C}P^n$ we determine
conditions under which it is austere, i.e., the normal bundle of $M$ is special
Lagrangian with respect to Stenzel's Ricci-flat K\"ahler metric on
$T\mathbb{C}P^n$. We also classify austere surfaces in $\mathbb{C}P^n$.

23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio