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.
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Applied Mathematics