On some properties of the manifolds with skew-symmetric torsion and holonomy SU(n) and Sp(n)
arXiv:math/0302358
Abstract
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.
arXiv comment11 pages, LaTeX
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Cited by in corpus (8)
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- Subvarieties of hypercomplex manifolds with holonomy in SL(n,H)
- Special Hermitian metrics and Lie groups
- Calabi-Yau Connections with Torsion on Toric Bundles
- Hyperkaehler manifolds with torsion obtained from hyperholomorphic bundles