The Gauss map of pseudo-algebraic minimal surfaces

Details The Gauss map of pseudo-algebraic minimal surfaces The Gauss map of pseudo-algebraic minimal surfaces

2005-11-22

arxiv.org/abs/math/0511543v2

Mathematics

Differential Geometry

15pages

Scientific paper

We refine Osserman's argument on the exceptional values of the Gauss map of algebraic minimal surfaces. This gives an effective estimate for the number of exceptional values and the totally ramified value number for a wider class of complete minimal surfaces that includes algebraic minimal surfaces. It also provides a new proof of Fujimoto's theorem for this class, which not only simplifies the proof but also reveals the geometric meaning behind it.

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