Iwasawa manifold

Iwasawa manifold

In mathematics, in the field of differential geometry, an Iwasawa manifold is a compact quotient of a 3-dimensional complex Heisenberg group by a cocompact, discrete subgroup. An Iwasawa manifold is a nilmanifold, of real dimension 6.

As a complex manifold, such an Iwasawa manifold is an important example ofa compact complex manifold which does not admit any Kähler metric.

References

* [http://arxiv.org/abs/math.DG/0112295 Complex structures on the Iwasawa manifold] , by Georgios Ketsetzis and Simon Salamon
*


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