A Casorati-Weierstrass theorem for holomorphic maps and invariant \(\sigma\)-fields of homomorphic diffusions (Q1301230)

The author improves the Casorati-Weierstrass theorem for holomorphic maps from some general manifolds to complex projective space. In fact the following interesting theorem is proved: No nonconstant holomorphic maps from a Kähler manifold which cannot admit nonconstant bounded harmonic functions to a complex projective space omit hyperplanes of positive measure.