On three-dimensional Riemannian spaces with curvature bounded above

Yu D. Burago, V. A. Toponogov

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

For three-dimensional closed simply-connected Riemannian spaces one gets a lower bound for the radius of injectivity of the exponential map from a lower bound of the sectional and an upper bound of the Ricci curvatures.

Original languageEnglish (US)
Pages (from-to)526-530
Number of pages5
JournalMathematical Notes of the Academy of Sciences of the USSR
Volume13
Issue number6
DOIs
StatePublished - Jun 1 1973

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Curvature
Lower bound
Exponential Map
Three-dimensional
Injectivity
Ricci Curvature
Radius
Upper bound
Closed

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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On three-dimensional Riemannian spaces with curvature bounded above. / Burago, Yu D.; Toponogov, V. A.

In: Mathematical Notes of the Academy of Sciences of the USSR, Vol. 13, No. 6, 01.06.1973, p. 526-530.

Research output: Contribution to journalArticle

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