https://neckpinch.com/authors/steven-gindi/New arXiv papers by Steven Gindi, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2410.13188/arxiv:2410.13188Thu, 17 Oct 2024 00:00:00 GMTSteven Gindi — We use Lott's functional and construct a new functional to derive rigidity results for invariant Ricci flow blowdown limits on nilpotent principal bundles with zero associated curvature. Consequently, we prove that the blowdown limit is locally an expanding Ricci soliton when the structure group is the three dimensional Heisenberg group. In addition, we classify this soliton when the base manifold is one dimensional. This, together with Lott's work in the abelian setting, yields a complete local classification of invariant Ricci flow blowdown limits on four dimensional, nilpotent principal bundles.Ricci flowRicci solitons3-manifolds4-manifoldsHomogeneous spacesStability & uniqueness https://neckpinch.com/papers/2109.07562/arxiv:2109.07562Wed, 15 Sep 2021 00:00:00 GMTSteven Gindi, Jeffrey Streets — We study solutions to generalized Ricci flow on four-manifolds with a nilpotent, codimension 1 symmetry. We show that all such flows are immortal, and satisfy type III curvature and diameter estimates. Using a new kind of monotone energy adapted to this setting, we show that blowdown limits lie in a canonical finite-dimensional family of solutions. The results are new for Ricci flow.Ricci flowGeneralized & G₂ flows4-manifoldsHomogeneous spacesLong-time existence & convergence