https://neckpinch.com/authors/shiqiao-zhang/New arXiv papers by Shiqiao Zhang, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2411.00861/arxiv:2411.00861Wed, 30 Oct 2024 00:00:00 GMTShiqiao Zhang — We examine a non-axisymmetric perturbation of a family of axisymmetric toric Einstein manifolds and Ricci solitons studied in Firester-Tsiamis (2024). We establish a rigidity result stating that these axisymmetric Ricci solitons do not admit constant-angle non-axisymmetric perturbations except for conformally flat cases. For these new cases, our result leads to an explicit description of the Einstein metrics and a classification of the Ricci solitons under a volume-collapsing ansatz.Ricci solitonsEinstein metrics(Non)collapsingStability & uniqueness