Minimal hypersurfaces in Rn as regular values of a function

Óscar Mario Perdomo
2004 Revista Integración  
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.
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