Minimal hypersurfaces in Rn as regular values of a function

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, th...

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Bibliographic Details
Main Author: Óscar Mario Perdomo
Format: Article
Language:Spanish
Published: Universidad Industrial de Santander 2004-09-01
Series:Revista Integración
Subjects:
Online Access:https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/481