${\bar{\partial}}$-geometrically formal ? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-24T22:04:35Z http://mathoverflow.net/feeds/question/120817 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/120817/bar-partial-geometrically-formal ${\bar{\partial}}$-geometrically formal ? Andrew McHugh 2013-02-05T01:14:06Z 2013-02-05T01:28:26Z <p>A compact Riemannian manifold is called geometrically formal if the wedge product of two $d$-harmonic forms is $d$-harmonic. Are there any known results for when a non-Kahler compact complex manifold admits a hermitian metric such that the wedge product of two ${\bar{\partial}}$-harmonic forms is ${\bar{\partial}}$-harmonic?</p>