Weakly Kähler hyperbolic manifolds and the Green–Griffiths–Lang conjecture
Weakly Kähler hyperbolic manifolds and the Green–Griffiths–Lang conjecture
We introduce the notion of weakly K\"ahler hyperbolic manifold which generalizes that of K\"ahler hyperbolic manifold given in the early '90s by M. Gromov, and establish its basic features. We then investigate its spectral properties and show a spectral gap result (on a suitable modification). As applications, we prove that …