Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 1995 / Cilt: 44

k - Convexity in euclidean 3 - space

k - Convexity in euclidean 3 - space

Sayfa
1–1
DOI
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Abstract

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.

k - Convexity in euclidean 3 - space — AJindex