https://neckpinch.com/authors/abishek-rajan/New arXiv papers by Abishek Rajan, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2510.15192/arxiv:2510.15192Thu, 16 Oct 2025 00:00:00 GMTAbishek Rajan — We consider the space of smooth gradient expanding Ricci soliton structures on S¹ × ℝ³ and S² × ℝ² which are invariant under the action of SO(3) × SO(2). In the case of each topology, there exists a 2-parameter family of cohomogeneity one solitons asymptotic to cones over the link S² × S¹, as constructed by Nienhaus-Wink and Buzano-Dancer-Gallaugher-Wang. By analyzing the resultant soliton ODEs, we reconstruct the 2-parameter families in each case and provide an alternate proof of conicality. Analogous to work of Bamler and Chen, we define a notion of expander degree for these cohomogeneity one solitons through a properness result. We then proceed to calculate this cohomogeneity one expander degree in the cases of the specific topologies.Ricci solitonsHomogeneous spaces