Curvature and q-strict convexity
Date
2007Source
Beitrage zur Algebra und GeometrieVolume
48Issue
1Pages
83-93Google Scholar check
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We relate q-strict convexity of compact convex sets K ⊂ ℝd whose boundary ∂K is a differentiable manifold of class Cq to intrinsic curvature properties of ∂K. Furthermore we prove that the set of q-strictly convex sets is Fσ of first Baire category. © 2007 Heldermann Verlag.