14 may 2018 -- 11:50
Cortona
Abstract.
I will present the geometric description of conformal classes on compact manifolds containing two non-homothetic Kaehler metrics - necessarily with respect to non-conjugate complex structures. This result is obtained as a by-product of the study of the so-called locally conformally Kaehler metrics. Such a metric is defined as a Hermitian metric on a complex manifold, which in the neighbourhood of each point is conformal to a K ̈ahler metric. The talk is based on joint work with Farid Madani and Andrei Moroianu, available on arXiv: https:/arxiv.orgabs1511.09212.