The Positive Harmonic Current $T$ on the Homogeneous Manifold $M$ is a limit of a sequence of Smooth ones $(T_n)_{n \in \mathbb{N}}$ on $M$?

31 Views Asked by At

Let $\mathbb{M}$ be a Homogeneous (i.e, the automorphism group acts transitively) Complex Manifold of complex dimension $m$ and $T$ a (not necessarily Smooth) Positive Harmonic Current on $\mathbb{M}$.

It can be proved then that $T$ is a limit of a sequence of Smooth Positive Harmonic Currents $(T_n)_{n \in \mathbb{N}}$on $\mathbb{M}$.

Where can such proof be found?