References & Citations
Mathematics > Differential Geometry
Title: Expanding Ricci solitons coming out of weakly PIC1 metric cones
(Submitted on 19 Apr 2024 (v1), last revised 1 May 2024 (this version, v2))
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.
Submission history
From: Pak-Yeung Chan [view email][v1] Fri, 19 Apr 2024 10:00:50 GMT (19kb)
[v2] Wed, 1 May 2024 10:38:58 GMT (20kb)
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