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.
- A. D. Alexandrov’s conjecture
- Isodiametric inequality
ASJC Scopus subject areas
- Geometry and Topology