Product of generalized Kähler manifolds
arXiv:1607.06238
Abstract
A product of Kähler manifolds also carries a Kähler metric. In this short note we would like to study the product of generalized Kähler manifolds, compact or not. The results we get extend the known results (balanced, SKT, sG manifolds), and are optimal in the compact case. Hence we can give new non-trivial examples of generalized Kähler manifolds.
22 pages; minor corrections, examples 6.6 and 6.7 have been changed. To appear in Annali di Matematica Pura ed Applicata