Sufficient criteria of convexity
- Cite this article as:
- Burago, Y.D. & Zalgaller, V.A. J Math Sci (1978) 10: 395. doi:10.1007/BF01476847
In this article a survey of criteria of convexity of sets and hypersurfaces inRn, 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.