A second main theorem of Nevanlinna theory for meromorphic functions on complex submanifolds in \(\mathbb C^{n}\)

DOI10.1007/S11118-008-9091-7zbMath1148.32002OpenAlexW2079704730MaRDI QIDQ944294

Atsushi Atsuji

Publication date: 15 September 2008

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-008-9091-7

zbMATH Keywords

Brownian motionNevanlinna theoryminimal submanifoldmeromorphic functionholomorphic map

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Meromorphic functions of several complex variables (32A20) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22)

Related Items (2)

Unnamed Item ⋮ A second main theorem of Nevanlinna theory for meromorphic functions on complete Kähler manifolds

Cites Work

• Topics in Nevanlinna theory
• Value distribution on parabolic spaces
• Théoremes de comparaison en géométrie Riemannienne
• Nevanlinna theory via stochastic calculus
• Remarks on harmonic maps into a cone from a stochastically complete manifold
• The growth of the area of a transcendental analytic set. I, II
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• Energy estimates and Liouville theorems for harmonic maps
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