Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Positive quaternionic Kaehler manifolds and symmetry rank   A quaternionic K\"ahler manifold M is called {\it positive} if it has
positive scalar curvature. The main purpose of this paper is to prove several
connectedness theorems for quaternionic immersions in a quaternionic K\"ahler
manifold, e.g. the Barth-Lefschetz type connectedness theorem for quaternionic
submanifolds in a positive quaternionic K\"ahler manifold. As applications we
prove that, among others, a 4m-dimensional positive quaternionic K\"ahler
manifold with symmetry rank at least (m-2) must be either isometric to \Bbb
HP^m or Gr_2(\Bbb C^{m+2}), if m\ge 10.

33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin