Killing mean curvature solitons from Riemannian submersions
We present a new general construction of mean curvature flow solitons on manifolds admitting a nowhere-vanishing Killing vector field. Using Riemannian submersion techniques, we reduce the problem from a PDE to an ODE. As an application, we obtain new examples of rotators in hyperbolic space.
Authors
- Miguel Ortega‐Sánchez (ORCID: https://orcid.org/0000-0002-1388-6870)
- Diego Artacho (ORCID: https://orcid.org/0000-0003-2345-5043)
- Marie-Amélie Lawn (ORCID: https://orcid.org/0000-0003-2691-0195)
Institutions
- Universidad de Granada (ES)
- Imperial College London (GB)
Publication Details
- Journal
- Journal of Mathematical Analysis and Applications
- Published
- 2025-09-22
- DOI
- https://doi.org/10.1016/j.jmaa.2025.130088
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00