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arXiv · 1506.05901

On curvature pinching of conic 2-spheres

Hao Fang·Mijia Lai
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Abstract

We study metrics on conic 2-spheres when no Einstein metrics exist. In particular, when the curvature of a conic metric is positive, we obtain the best curvature pinching constant. We also show that when this best pinching constant is approached, the conic 2-sphere has an explicit Gromov-Hausdorff limit. This is a generalization of the previous results of Chen-Lin and Bartolucci for 2-spheres with one or two conic points.

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Hao Fang, Mijia Lai. 2015-06-19. On curvature pinching of conic 2-spheres. https://arxiv.org/abs/1506.05901

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