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The Gauss map of pseudo‐algebraic minimal surfaces in R 4
Author(s) -
Kawakami Yu
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200610732
Subject(s) - mathematics , algebraic number , gauss , gauss map , euclidean space , euclidean geometry , algebraic surface , space (punctuation) , pure mathematics , combinatorics , algebra over a field , mathematical analysis , geometry , physics , quantum mechanics , linguistics , philosophy
In this paper, we prove effective estimates for the number of exceptional values and the totally ramified value number of the Gauss map for pseudo‐algebraic and algebraic minimal surfaces in Euclidean four‐space and give a kind of unicity theorem (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)