Nonexistence results and convex hull property for maximal surfaces in Minkowski three-space 1

• Autores: Rosa M. B. Chaves, Leonor Ferrer
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 231, Nº 1, 2007, págs. 1-26
• Idioma: inglés
• DOI: 10.2140/pjm.2007.231.1
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• Resumen

  • We study properly immersed maximal surfaces with nonempty boundary and singularities in three-dimensional Minkowski space. We use the maximum principle and scaling arguments to obtain nonexistence results for these surfaces when the boundary is planar. We also give suficient conditions for such surfaces to satisfy the convex hull property.