Minimal hypersurfaces in Rn as regular values of a function

• Autores: Oscar Mario Perdomo
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 22, Nº. 1-2, 2004, págs. 1-6
• Idioma: español
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• Resumen

  • In this paper we prove that if M = /_1(0) is a minimal hypersurface of Rn, where / : V C Rn -► R is a smooth function defined on a open set V, then / must satisfy the equation |V/|2A/ = |(V|V/|2,V/} for every x € M. We will also prove that if M is the zero level set of a homogeneous 2 polynomial, then M must be a Clifford minimal hypersurface.