On $L_2$-cohomology of almost Hermitian manifolds

Richard Hind, Adriano Tomassini

Let $(X,J,\omega ,g)$ be a complete $n$-dimensional Kähler manifold. A Theorem by Gromov \cite{G} states that the if the Kähler form is $d$-bounded, then the space of harmonic $L_2$ form…