A Casorati-Weierstrass theorem for holomorphic maps and invariant \(\sigma\)-fields of homomorphic diffusions (Q1301230)
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scientific article; zbMATH DE number 1331662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Casorati-Weierstrass theorem for holomorphic maps and invariant \(\sigma\)-fields of homomorphic diffusions |
scientific article; zbMATH DE number 1331662 |
Statements
A Casorati-Weierstrass theorem for holomorphic maps and invariant \(\sigma\)-fields of homomorphic diffusions (English)
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2 March 2000
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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.
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Nevanlinna theory
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holomorphic martingale
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invariant field
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Laplacian
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Casorati-Weierstrass theorem
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