https://neckpinch.com/authors/brett-kotschwar/New arXiv papers by Brett Kotschwar, from Neckpinch Tue, 03 Nov 2026 07:15:30 GMT https://arxiv.org/abs/2401.00607arxiv:2401.00607Sun, 31 Dec 2023 00:00:00 GMTBrett Kotschwar — We prove that a complete solution to the Ricci flow on M× [−T, 0) which has quadratic curvature decay on some end of M and converges locally smoothly to the end of a cone on that neighborhood as t↗ 0 must be a gradient shrinking soliton.Ricci flowRicci solitons https://arxiv.org/abs/2401.00606arxiv:2401.00606Sun, 31 Dec 2023 00:00:00 GMTBrett Kotschwar — We establish sufficient conditions which ensure that a locally-warped product structure propagates backward in time under the Ricci flow. As an application, we prove that if an asymptotically conical gradient shrinking soliton is asymptotic to a cone whose cross-section is a product of Einstein manifolds, the soliton must itself be a multiply-warped product over the same manifolds.Ricci flowRicci solitonsEinstein metricsBoundaries & non-compactRotational symmetry & warped products