A note on star-shaped compact hypersurfaces with prescribed scalar curvature in space forms

• Joel Spruck ^[1] ; Ling Xiao ^[2]
  1. [1] Johns Hopkins University

     Johns Hopkins University

     Estados Unidos

     
  2. [2] Rutgers University

     Rutgers University

     City of New Brunswick, Estados Unidos

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 33, Nº 2, 2017, págs. 547-554
• Idioma: inglés
• DOI: 10.4171/RMI/948
• Texto completo no disponible (Saber más ...)
• Resumen

  • Guan, Ren and Wang obtained a C2 a priori estimate for admissible 2-convex hypersurfaces satisfying the Weingarten curvature equation σ2(κ(X))=f(X,ν(X)). In this note, we give a simpler proof of this result, and extend it to space forms.