Ricci flow and PIC1

Peter M. Topping

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arXiv · 2309.00596

Ricci flow and PIC1

Peter M. Topping

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Abstract

We survey several problems concerning Riemannian manifolds with positive curvature of one form or another. We describe the PIC1 notion of positive curvature and argue that it is often the sharp notion of positive curvature to consider. Finally we explain how recent Ricci flow theory is particularly well adapted to solve these problems.

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Peter M. Topping. 2023-09-01. Ricci flow and PIC1. https://arxiv.org/abs/2309.00596

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