Una nota sobre el problema de la deformación conforme de métricas en la bola unitaria

• Autores: Carlos Arturo Escudero Salcedo, Gonzalo García
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 37, Nº. 1, 2003, págs. 1-9
• Idioma: español
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• Resumen

  • In this paper we show the existence of a family of functions R and h for which does not exist a conformal metric to the Euclidean metric on the unit ball in Rn such that R is not its scalar curvature and h is not its mean curvature. To find this family, we use the moving spheres method and the maximum principle for elliptic operators.