Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 48, No. 1, pp. 8393 (2007) 

Curvature and $q$strict convexityLeoni Dalla and Evangelia SamiouDepartment of Mathematics, University of Athens Panepistimioupolis, GR15784 Athens, Greece, email: ldalla@math.uoa.gr; University of Cyprus, Department of Mathematics and Statistics, P.O. Box 20537, 1678 Nicosia, Cyprus, email: samiou@ucy.ac.cyAbstract: We relate $q$strict convexity of compact convex sets $K\subset\R^d$ whose boundary $\partial K$ is a differentiable manifold of class $C^q$ to intrinsic curvature properties of $\partial K$. Furthermore we prove that the set of $q$strictly convex sets is $F_\sigma$ of first Baire category. Keywords: $q$strict convexity, curvature Classification (MSC2000): 52A20, 53A05 Full text of the article:
Electronic version published on: 14 May 2007. This page was last modified: 27 Jan 2010.
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