We show that there exist astheno-Kähler structures on Calabi-Eckmann manifolds.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm115-1-4, author = {Koji Matsuo}, title = {Astheno-K\"ahler structures on Calabi-Eckmann manifolds}, journal = {Colloquium Mathematicae}, volume = {116}, year = {2009}, pages = {33-39}, zbl = {1173.53034}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm115-1-4} }
Koji Matsuo. Astheno-Kähler structures on Calabi-Eckmann manifolds. Colloquium Mathematicae, Tome 116 (2009) pp. 33-39. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm115-1-4/