Journal of Soviet Mathematics

, Volume 10, Issue 3, pp 395–435

Sufficient criteria of convexity

  • Yu. D. Burago
  • V. A. Zalgaller

DOI: 10.1007/BF01476847

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.

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • Yu. D. Burago
  • V. A. Zalgaller

There are no affiliations available

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