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arXiv · 2503.12416

On the weakly conical expanding gradient Ricci solitons

Pak-Yeung Chan·Man-Chun Lee
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Abstract

In this work, we construct several sequences of metrics on sphere with different limiting behaviors. By combining with the work of Deruelle, we use it and the localized maximum principle to construct various examples of expanding gradient Ricci solitons with positive curvature and exotic curvature decay. This answers a question proposed by Chow-Lu-Ni and also a question by Cao-Liu, respectively.

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Pak-Yeung Chan, Man-Chun Lee. 2025-03-16. On the weakly conical expanding gradient Ricci solitons. https://arxiv.org/abs/2503.12416

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