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arXiv · 2305.04235

Shrinkers with curvature pinching conditions are compact

Guoqiang Wu·Jia-Yong Wu
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Abstract

In this paper, we give various curvature pinching conditions such that shrinkers are compact. On one hand, we prove that shrinkers with positive Ricci curvature are compact when they have bounded curvature and certain curvature pinching conditions. On the other hand, we prove that shrinkers with certain asymptotically nonnegative sectional curvature are compact. As applications, some related classifications of shrinkers are provided.

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Guoqiang Wu, Jia-Yong Wu. 2023-05-07. Shrinkers with curvature pinching conditions are compact. https://arxiv.org/abs/2305.04235

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