On ricci solitons with isoparametric potential functions
Abstract
Abstract This paper studies a complete gradient Ricci soliton with an isoparametric potential function. Our first theorem asserts that, for the steady case, there is a critical level set of codimension greater than one. This is consistent with construction of cohomogeneity one models with singular orbits. There is a partial result for the shrinking case. We also study a particular ansatz of popular interest and obtain asymptotic behaviors.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Mathematische Zeitschrift
- Publisher
- Springer Science and Business Media LLC
- Volume
- 312
- Issue
- 2
- Publication date
- 20 January 2026
- Language
- EN