Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quaternionic connections, induced holomorphic structures and a vanishing
  theorem   We classify the holomorphic structures of the tangent vertical bundle T of
the twistor fibration of a quaternionic manifold (M,Q) of dimension bigger than
four. In particular, we show that any self-dual quaternionic connection on (M,
Q) induces an holomorphic structure on T. We prove that the positive tensor
powers of T have no global holomorphic sections, when (M,Q) is compact and
admits a compatible quaternionic-Kahler metric of negative (respectively, zero)
scalar curvature and the holomorphic structure of T is induced by a closed
(respectively, closed but not exact) quaternionic connection.

27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga