https://neckpinch.com/authors/wenjia-zhang/New arXiv papers by Wenjia Zhang, from Neckpinch Tue, 03 Nov 2026 07:15:30 GMT https://arxiv.org/abs/2610.41345arxiv:2610.41345Fri, 30 Oct 2026 00:00:00 GMTYu Li, Longhuan Yan, Wenjia Zhang — We prove strong uniqueness of tangent flows at the first singular time of a closed Ricci flow when one tangent flow is generated by a complete smooth asymptotically conical Ricci shrinker. The modified flow converges to this shrinker in a fixed gauge, with quantitative estimates on expanding domains. The main ingredients are a Łojasiewicz-Simon inequality for Perelman's entropy, based on the global weighted divergence-free gauge constructed in the preceding paper, and estimates controlling the geometric radius under Ricci flow.Ricci flowRicci solitonsSingularitiesPerelman entropyStability & uniquenessBoundaries & non-compact https://arxiv.org/abs/2610.39814arxiv:2610.39814Thu, 29 Oct 2026 00:00:00 GMTYu Li, Longhuan Yan, Wenjia Zhang — We develop the weighted Sobolev and Hölder analysis needed to study perturbations of complete asymptotically conical (AC) Ricci shrinkers. Weighted elliptic estimates yield a global weighted divergence-free slice in spaces that retain the asymptotic data at infinity. As a geometric application, we prove pointed Gromov-Hausdorff rigidity of nontrivial AC shrinkers with vanishing infinitesimal solitonic deformation space.Ricci solitonsLimit spaces & RCDStability & uniquenessBoundaries & non-compact https://arxiv.org/abs/2410.21950arxiv:2410.21950Tue, 29 Oct 2024 00:00:00 GMTYu Li, Wenjia Zhang — In this paper, we prove the uniqueness of Kähler Ricci shrinkers on toric orbifolds, extending the corresponding results previously established for toric manifolds.Ricci solitonsKähler geometryStability & uniqueness https://arxiv.org/abs/2305.06143arxiv:2305.06143Wed, 10 May 2023 00:00:00 GMTYu Li, Wenjia Zhang — In this paper, we establish the rigidity of the generalized cylinder Nⁿ × ℝ^(m-n), or a quotient thereof, in the space of Ricci shrinkers equipped with the pointed-Gromov-Hausdorff topology. Here, N is a stable Einstein manifold that has an obstruction of order 3. The proof is based on a quantitative characterization of the rigidity of compact Ricci shrinkers, a rigidity inequality of mixed orders on generalized cylinders, and the method of contraction and extension. As an application, we prove the uniqueness of the tangent flow for general compact Ricci flows under the assumption that one tangent flow is a generalized cylinder.Ricci flowRicci solitonsEinstein metricsSingularitiesLimit spaces & RCDStability & uniqueness https://arxiv.org/abs/2203.07762arxiv:2203.07762Tue, 15 Mar 2022 00:00:00 GMTYu Li, Wenjia Zhang — In this paper, we prove that any Ricci shrinker that is sufficiently close to (ℂ P^N,g_FS) in the Gromov-Hausdorff sense must itself be isometric to (ℂ P^N,g_FS).Ricci solitonsLimit spaces & RCDStability & uniqueness