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Families of strong KT structures in six dimensions

Families of strong KT structures in six dimensions

This paper classifies Hermitian structures on 6-dimensional nilmanifolds M=\Gamma\backslash G for which the fundamental 2-form is \partial\bar \partial -closed, a condition that is shown to depend only on the underlying complex structure J of M . The space of such J is described when G is the complex Heisenberg group, …