# 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 O. 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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