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Some function theoretic properties of the Gauss map for hyperbolic complete minimal surfaces

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Publication:1094677
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DOI10.1307/mmj/1029003558zbMath0631.53011OpenAlexW2091236819MaRDI QIDQ1094677

Allen Weitsman, Frederico Xavier

Publication date: 1987

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029003558

zbMATH Keywords

elliptic functionsnormal functionsNevanlinna's characteristiccomplete minimal surface


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Normal functions of one complex variable, normal families (30D45) Meromorphic functions of one complex variable (general theory) (30D30)


Related Items

LIMITATIONS ON PRESCRIBING THE HOPF DIFFERENTIAL FOR MINIMAL SURFACES IN H3, On complete minimal surfaces whose Gauss map misses two directions, The Gauss map of pseudo-algebraic minimal surfaces, Value distribution for the Gauss maps of various classes of surfaces, The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature, Power series with Hadamard gaps and hyperbolic complete minimal surfaces, Finiteness of the number of ends of minimal submanifolds in Euclidean space



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