Value distribution theoretical properties of the Gauss map of pseudo-algebraic minimal surfaces

Details Value distribution theoretical properties of the Gauss map of pseudo-algebraic minimal surfaces Value distribution theoretical properties of the Gauss map of pseudo-algebraic minimal surfaces

2006-08-14

arxiv.org/abs/math/0608351v1

Mathematics

Differential Geometry

49 pages, review

Scientific paper

In this thesis, we study value distribution theoretical properties of the
Gauss map of pseudo-algebraic minimal surfaces in n-dimensional Euclidean
space. After reviewing basic facts, we give estimates for the number of
exceptional values and the totally ramified value numbers and the corresponding
unicity theorems for them.

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