k - Convexity in euclidean 3 - space
In this paper we establish some results relating the concept of k-convexity of regions in the Euclidean 3-space E3 with the sectional curvature of their boundaires. Relation between k-convexity and strict convexity is considered. Focal points of the boundary of a k-convex region are also studied.
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- Communications, Series A1:Mathematics and Statistics