The number of conformally equivalent maximal graphs

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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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Differential Geometry, 53C50 (Primary); 53A10, 53A30 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/223528

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.2950
 http://arxiv.org/abs/0903.2950

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arXiv