https://neckpinch.com/authors/y-k-wang/New arXiv papers by Y. K. Wang, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1907.12512/arxiv:1907.12512Mon, 29 Jul 2019 00:00:00 GMTChangliang Wang, M. Y. -K. Wang — We show that a strict, nearly Kähler 6-manifold with either second or third Betti number nonzero is linearly unstable with respect to the ν-entropy of Perelman and hence is dynamically unstable for the Ricci flow.Ricci flowKähler geometryStability & uniqueness https://neckpinch.com/papers/1610.07706/arxiv:1610.07706Tue, 25 Oct 2016 00:00:00 GMTPeng Lu, Y. K. Wang — We generalize the ancient solutions of the Ricci flow on certain principal rm SO(3) bundles over compact quaternionic Kähler manifolds constructed by Bakas, Kong, and Ni to certain RP³ fibre bundles over a product of two compact quaternionic Kähler manifolds. The ancient solutions are of Type I, κ-noncollapsed, and have positive Ricci curvature. Analogous solutions on even-dimensional non-Kählerian bundle spaces are also constructed.Ricci flowAncient solutionsSingularities(Non)collapsingKähler geometry https://neckpinch.com/papers/1606.01112/arxiv:1606.01112Fri, 03 Jun 2016 00:00:00 GMTPeng Lu, Y. K. Wang — We generalize the circle bundle examples of ancient solutions of the Ricci flow discovered by Bakas, Kong, and Ni to a class of principal torus bundles over an arbitrary finite product of Fano Kähler-Einstein manifolds studied by Wang and Ziller in the context of Einstein geometry. As a result, continuous families of κ-collapsed and κ-noncollapsed ancient solutions of type I are obtained on circle bundles for all odd dimensions ≥ 7. In dimension 7 such examples moreover exist on pairs of homeomorphic but not diffeomorphic manifolds. Continuous families of κ-collapsed ancient solutions of type I are also obtained on torus bundles for all dimensions ≥ 8.Ricci flowAncient solutionsEinstein metricsSingularities(Non)collapsingKähler geometryKähler–Einstein & K-stability