Sufficient criteria of convexity

Yury D. Burago, V. A. Zalgaller

Research output: Contribution to journalArticle

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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 languageEnglish (US)
Pages (from-to)395-435
Number of pages41
JournalJournal of Soviet Mathematics
Volume10
Issue number3
DOIs
StatePublished - Sep 1 1978

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

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