Deformations of generalized calibrations and compact non-Kähler manifolds with vanishing first Chern class

@article{Gutowski2002DeformationsOG,
  title={Deformations of generalized calibrations and compact non-K{\"a}hler manifolds with vanishing first Chern class},
  author={J B Gutowski and Stefan Ivanov and Georgios Papadopoulos},
  journal={Asian Journal of Mathematics},
  year={2002},
  volume={7},
  pages={39-80}
}
We investigate the deformation theory of a class of generalized calibrations in Riemannian manifolds for which the tangent bundle has reduced structure group U(n), SU(n), G_2 and Spin(7). For this we use the property of the associated calibration form to be parallel with respect to a metric connection which may have non-vanishing torsion. In all these cases, we find that if there is a moduli space, then it is finite dimensional. We present various examples of generalized calibrations that… 

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