The mean curvature of the second fundamental form

• Autores: Stephan Haesen, Steven Verpoort, Leopold Verstraelen
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 3, 2008, págs. 703-719
• Idioma: inglés
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• Resumen

  • The critical points of the area functional of the second fundamental form of Riemannian surfaces in three-dimensional semi-Riemannian manifolds are determined. They are characterized by the vanishing of a scalar function, which will be called the mean curvature of the second fundamental form. A property which involves this new mean curvature is distinctive for totally umbilical surfaces