Geometric effects of hyperbolic cohomology classes on Kähler manifolds (with an appendix by Benoît Claudon)

Francesco Bei, Simone Diverio, Stefano Trapani

We introduce the notion of Kähler topologically hyperbolic manifold, as a"topological" generalization of Kähler [Gro91] and weakly Kähler [BDET24] hyperbolic manifolds. Analogou…