Abstract
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.
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The author is partially supported by a Grant-in-Aid for Scientific Research from the Japan Society for the Promotion of Science.
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Shioya, T. Estimate of isodiametric constant for closed surfaces. Geom Dedicata 174, 279–285 (2015). https://doi.org/10.1007/s10711-014-0017-9
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DOI: https://doi.org/10.1007/s10711-014-0017-9