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arXiv · 1407.8275

Estimate of isodiametric constant for closed surfaces

Takashi Shioya
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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 estimate for a nonnegatively curved two-sphere.

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Takashi Shioya. 2014-07-31. Estimate of isodiametric constant for closed surfaces. https://arxiv.org/abs/1407.8275

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