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arXiv · 2409.13123

Geometry and Analysis of Gradient Ricci Solitons in Dimension Four

Xiaodong Cao·Hung Tran
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Abstract

[Dedicated to Richard S. Hamilton on forty years of Ricci flow] Gradient Ricci solitons have garnered significant attention both as self-similar solutions and singularity models of the Ricci flow. This survey article starts with a list of examples; it also provides some geometric aspects of gradient Ricci solitons, including various asymptotic behaviors; finally, it discusses some recent results on classification and rigidity. In particular, this survey focuses on dimension four.

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Xiaodong Cao, Hung Tran. 2024-09-19. Geometry and Analysis of Gradient Ricci Solitons in Dimension Four. https://arxiv.org/abs/2409.13123

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