Antonio Otal

ON COHOMOLOGICAL DECOMPOSITION OF BALANCED MANIFOLDS

We study complex-pure-and-fullness at the first stage on compact complex nilmanifolds M of complex dimension 3, with special attention to the case of existence of a balanced Hermitian metric on M.

Hermitian Metrics on Compact Complex Manifolds and Their Deformation Limits

We consider various types of special Hermitian metrics on compact complex manifolds, namely Kahler, Hermitian-symplectic, SKT, balanced and strongly Gauduchon metrics. We study the strongly Gauduchon metrics in relation to the SKT condition on complex nilmanifolds and to the Hermitian-symplectic condition on certain complex solvmanifolds. We also review the behaviour of the existence properties of these special metrics on compact complex manifolds under holomorphic deformations.