Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weakly complex inner symmetric spaces   We prove that the tangent bundle of an inner symmetric space $M$ of compact
type is weakly complex if and only if $M$ is a Riemannian product
$M_1\times...\times M_k$, each $M_i$ being an even-dimensional round sphere or
Hermitian symmetric.

34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics