an:01331662
Zbl 0967.58019
Atsuji, A.
A Casorati-Weierstrass theorem for holomorphic maps and invariant \(\sigma\)-fields of homomorphic diffusions
EN
Bull. Sci. Math. 123, No. 5, 371-383 (1999).
0007-4497
1999
j
58J65 60J60
Nevanlinna theory; holomorphic martingale; invariant field; Laplacian; Casorati-Weierstrass theorem
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.
Th.M.Rassias (Athens)