The number of conformally equivalent maximal graphs

Details The number of conformally equivalent maximal graphs The number of conformally equivalent maximal graphs

2009-03-17

arxiv.org/abs/0903.2950v1

Mathematics

Differential Geometry

Scientific paper

We show that the number of entire maximal graphs with finitely many singular points that are conformally equivalent is a universal constant that depends only on the number of singularities, namely 2^$ for graphs with n+1 singularities. We also give an explicit description of the family of entire maximal graphs with a finite number of singularities all of them lying on a plane orthogonal to the limit normal vector at infinity.

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