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Papers - Families of strong KT structures in six dimensions | |
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Families of strong KT structures in six dimensions
Abstract
This paper classifies Hermitian structures on
6-dimensional nilmanifolds Γ\G for which the fundamental 2-form is
∂∂-closed, a condition that is shown to depend only on the underlying
complex structure J. The space of such J is described when G is
the complex Heisenberg group, and explicit solutions are obtained from a
limaçon-shaped curve in the complex plane. Related theory is used to provide
examples of various types of Ricci-flat structures.
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