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arXiv · 2404.12755

Expanding Ricci solitons coming out of weakly PIC1 metric cones

Pak-Yeung Chan·Man-Chun Lee·Luke T. Peachey
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Abstract

Motivated by recent work of Deruelle-Schulze-Simon, we study complete weakly PIC1 Ricci flows with Euclidean volume growth coming out of metric cones. We show that such a Ricci flow must be an expanding gradient Ricci soliton, and as a consequence, any metric cone at infinity of a complete weakly PIC1 K\"ahler manifold with Euclidean volume growth is biholomorphic to complex Euclidean space in a canonical way.

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Pak-Yeung Chan, Man-Chun Lee, Luke T. Peachey. 2024-04-19. Expanding Ricci solitons coming out of weakly PIC1 metric cones. https://arxiv.org/abs/2404.12755

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