Killing Mean Curvature Solitons from Riemannian Submersions
arXiv:2501.12998 · doi:10.1016/j.jmaa.2025.130088
Abstract
We present a new general construction of examples of mean curvature 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.
20 pages, 4 figures. Revised version. To appear in the Journal of Mathematical Analysis and Applications