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The Equidistribution Theory of Holomorphic Curves
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Hung-his Wu
Language:
English
Published/Copyright:
1970
About this book
This work is a fresh presentation of the Ahlfors-Weyl theory of holomorphic curves that takes into account some recent developments in Nevanlinna theory and several complex variables. The treatment is differential geometric throughout, and assumes no previous acquaintance with the classical theory of Nevanlinna. The main emphasis is on holomorphic curves defined over Riemann surfaces, which admit a harmonic exhaustion, and the main theorems of the subject are proved for such surfaces. The author discusses several directions for further research.
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
March 2, 2016
eBook ISBN:
9781400881901
Pages and Images/Illustrations in book
Main content:
250
eBook ISBN:
9781400881901
Keywords for this book
Theorem; Meromorphic function; Holomorphic function; Riemann sphere; Hyperplane; Riemann surface; Compact Riemann surface; Differential geometry; Cauchy–Riemann equations; Nevanlinna theory; Picard theorem; Continuous function (set theory); Diagram (category theory); Algebraic curve; Differential geometry of surfaces; Dimension; Geometry; Hermann Weyl; Complex projective space; Complex manifold; Hermitian manifold; Hyperbolic manifold; Gaussian curvature; Product metric; Isometry; Special case; Geodesic curvature; Intersection number (graph theory); Tangent space; Covariant derivative; Harmonic function; Homology (mathematics); Existential quantification; Volume form; Differential form; Fiber bundle; Binomial coefficient; Submanifold; Atlas (topology); Euler characteristic; Computation; Manifold; Curvature form; Improper integral; Algebraic number; Compact space; One-form; Orthogonal complement; Three-dimensional space (mathematics); Volume element; Tangent; Unit vector; Grassmannian; Essential singularity; Divisor; Vector field; Line integral; Open set; Parameter; Unit circle; Subset; Q.E.D.; Addition; Critical value; Minimal surface; Smoothness; Remainder; Hypersurface; Open problem
Audience(s) for this book
College/higher education;Professional and scholarly;
