The WPIC1 Ricci-flow existence conjecture
The WPIC1 Ricci-flow existence conjecture
Let be a complete WPIC1 manifold with . WPIC1 Ricci-flow existence conjecture. There exists a complete WPIC1 Ricci flow on for , for some , with . This conjecture is the key Ricci-flow existence step for applying smoothing to the topology problem on complete noncompact manifolds. In dimension three it asserts that a complete metric with nonnegative Ricci curvature should induce a complete Ricci-flow evolution; the general statement remains open in the supplied discussion.
Sources & referencesView supporting material
Primary source
Peter M. Topping, “Ricci flow and PIC1”, arXiv:2309.00596 (2023).
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