Non Kaehler solvmanifolds with generalized Kaehler structure
Differential Geometry
2008-07-09 v3
Abstract
We construct a compact 6-dimensional solvmanifold endowed with a non-trivial invariant generalized K\"ahler structure and which does not admit any K\"ahler metric. This is in contrast with the case of nilmanifolds which cannot admit any invariant generalized K\"ahler structure unless they are tori.
Cite
@article{arxiv.math/0702164,
title = {Non Kaehler solvmanifolds with generalized Kaehler structure},
author = {Anna Fino and Adriano Tomassini},
journal= {arXiv preprint arXiv:math/0702164},
year = {2008}
}
Comments
New title. To appear in J. Sympl. Geom