Families of strong KT structures in six dimensions

نویسندگان

  • Anna Fino
  • Maurizio Parton
  • Simon Salamon
چکیده

This paper classifies Hermitian structures on 6-dimensional nilmanifolds M = Γ\G for which the fundamental 2-form is ∂∂-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, 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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تاریخ انتشار 2003