Abstract
In this article a survey of criteria of convexity of sets and hypersurfaces in Rn, in Riemannian and infinite-dimensional linear spaces, is made. Included are the following sections: support property; local convexity; local support; curvature of the boundary; section by planes; uniqueness of closest points; systems of sets.
Original language | English (US) |
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Pages (from-to) | 395-435 |
Number of pages | 41 |
Journal | Journal of Soviet Mathematics |
Volume | 10 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1978 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- General Mathematics
- Applied Mathematics