https://neckpinch.com/authors/catherine-searle/New arXiv papers by Catherine Searle, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2605.01557/arxiv:2605.01557Sat, 02 May 2026 00:00:00 GMTHa Tuan Dung, Catherine Searle, Hung Tran — This paper studies a non-trivial gradient Kähler-Ricci soliton, of complex dimension n, with an isometry group of dimension at least n²−1. We show that the isometry group acts by cohomogeneity one and, consequently, admits a special ansatz involving a Sasakian model. In complex dimension two, we can actually say more: namely, that every such soliton has maximal symmetry; that is, the isometry group is exactly of dimension 2². In addition, we prove that, if the isometry group acts by cohomogeneity one on a non-trivial gradient Ricci soliton (not necessarily Kähler), the potential function is invariant by the action.Ricci solitonsKähler–Ricci solitonsKähler geometryHomogeneous spacesSasakian & contact geometry