JournalsrmiVol. 33, No. 2pp. 547–554

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

  • Joel Spruck

    The Johns Hopkins University, Baltimore, USA

  • Ling Xiao

    Rutgers University, Piscataway, USA
A note on star-shaped compact hypersurfaces with prescribed scalar curvature in space forms cover
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Abstract

Guan, Ren and Wang obtained a a priori estimate for admissible 2-convex hypersurfaces satisfying the Weingarten curvature equation In this note, we give a simpler proof of this result, and extend it to space forms.

Cite this article

Joel Spruck, Ling Xiao, A note on star-shaped compact hypersurfaces with prescribed scalar curvature in space forms. Rev. Mat. Iberoam. 33 (2017), no. 2, pp. 547–554

DOI 10.4171/RMI/948