A note on starshaped compact hypersurfaces with a prescribed scalar curvature in space forms
Abstract
In [7], Guan, Ren and Wang obtained a C2 a priori estimate for admissible 2-convex hypersurfaces satisfying the Weingarten curvature equation σ2((X))=f(X, (X)). In this note, we give a simpler proof of this result, and extend it to space forms.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.