Nevanlinna-type theorems for meromorphic functions on non-positively curved Kähler manifolds

DOI10.1515/FORUM-2016-0032zbMath1386.32018OpenAlexW2612657562WikidataQ125306011 ScholiaQ125306011MaRDI QIDQ1689402

Atsushi Atsuji

Publication date: 12 January 2018

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2016-0032

zbMATH Keywords

characteristic functionRicci curvatureKähler manifoldsproximity functionsecond main theorem

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Value distribution theory in higher dimensions (32H30)

Related Items (2)

Nevanlinna theory via holomorphic forms ⋮ CARLSON–GRIFFITHS THEORY FOR COMPLETE KÄHLER MANIFOLDS

Cites Work

• Function theory on manifolds which possess a pole
• On the number of omitted values by a meromorphic function of finite energy and heat diffusions
• On subharmonic functions and differential geometry in the large
• A second main theorem of Nevanlinna theory for meromorphic functions on complete Kähler manifolds
• Semi-martingales sur des variétés, et martingales conformes sur des variétés analytiques complexes
• Théoremes de comparaison en géométrie Riemannienne
• A Casorati-Weierstrass theorem for holomorphic maps and invariant \(\sigma\)-fields of homomorphic diffusions
• Dirichlet forms and symmetric Markov processes
• The submartingale property and Liouville type theorems
• Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique
• Brownian Motion and Nevanlinna Theory
• Holomorphic mappings of complex manifolds
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