Quid of special metrics on a compact complex manifold?

par M. Erfan Soheil

mercredi 29 mars 2023, 17:00 → 18:00 Europe/Paris

Room Picard (1R2-129)

In this talk, we recall definitions of some (well-known) metrics on a compact complex manifold X, such as K\"ahler, balanced, SKT and LCK and H-s. Moreover, the relations between these metrics will be investigated. We show that the K\ahler metrics are a special case of all the above metrics, but the converse is not true. Finally, we recall the notion of \partial\bar\patial-manifolds and prove that the Bott-Chern and the Aeppli cohomology groups are isomorphic under this assumption.