Families of strong KT structures in six dimensions
Abstract
This paper classifies Hermitian structures on 6dimensional nilmanifolds M=G/L for which the fundamental 2form is d dbar 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 limaconshaped curve in the complex plane. Related theory provides examples of various types of Ricciflat structures.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 September 2002
 DOI:
 10.48550/arXiv.math/0209259
 arXiv:
 arXiv:math/0209259
 Bibcode:
 2002math......9259F
 Keywords:

 Mathematics  Differential Geometry;
 53C55;
 32G05;
 17B30;
 81T30
 EPrint:
 Comment. Math. Helv. 79 (2004) 317340