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Bibliographic Details
Main Authors: Chan, Pak-Yeung, Lee, Man-Chun, Peachey, Luke T.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.12755
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Table of Contents:
  • 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 Kähler manifold with Euclidean volume growth is biholomorphic to complex Euclidean space in a canonical way.