Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On some properties of the manifolds with skew-symmetric torsion and
  holonomy SU(n) and Sp(n)   In this paper we provide examples of hypercomplex manifolds which do not
carry HKT structure. We also prove that the existence of HKT structure is not
stable under small deformations. Similarly we provide examples of compact
complex manifolds with vanishing first Chern class which do not admit a
Hermitian structure with restricted holonomy of its Bismut connection in SU(n).
Again we prove that such property is not stable under small deformations.

28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex