Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonnegatively curved quotient spaces with boundary   Let $M$ be a compact nonnegatively curved Riemannian manifold admitting an
isometric action by a compact Lie group $\mathsf G$ in a way that the quotient
space $M/\mathsf G$ has nonempty boundary. Let $\pi : M \to M/\mathsf G$ denote
the quotient map and $B$ be any boundary stratum of $M/\mathsf G$. Via a
specific soul construction for $M/ \mathsf G$ we construct a smooth closed
submanifold $N$ of $M$ such that $M \setminus \pi^{-1}(B)$ is diffeomorphic to
the normal bundle of $N$. As an application we show that a simply connected
torus manifold admitting an invariant metric of nonnegative curvature is
rationally elliptic.

22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
3
The categories of this paper are: physics
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci