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arXiv · 1505.01578

A note on starshaped compact hypersurfaces with a prescribed scalar curvature in space forms

Joel Spruck·Ling Xiao
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Abstract

In [7], Guan, Ren and Wang obtained a $C^2$ a priori estimate for admissible 2-convex hypersurfaces satisfying the Weingarten curvature equation $σ_2(κ(X))=f(X, ν(X)).$ In this note, we give a simpler proof of this result, and extend it to space forms.

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Joel Spruck, Ling Xiao. 2015-05-07. A note on starshaped compact hypersurfaces with a prescribed scalar curvature in space forms. https://arxiv.org/abs/1505.01578

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