Estimate of isodiametric constant for closed surfaces

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1 Citation (Scopus)


We give an explicit estimate of the area of a closed surface by the diameter and a lower bound of curvature. This is better than Calabi–Cao’s (J Differ Geom 36(3): 517–549, 1992) estimate for a nonnegatively curved two-sphere.

Original languageEnglish
Pages (from-to)279-285
Number of pages7
JournalGeometriae Dedicata
Issue number1
Publication statusPublished - 2015 Feb


  • A. D. Alexandrov’s conjecture
  • Area
  • Curvature
  • Diameter
  • Isodiametric inequality

ASJC Scopus subject areas

  • Geometry and Topology


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