Killing mean curvature solitons from Riemannian submersions
Year: 2025
Type: article
Abstract: 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: Diego Artacho, Marie-Amélie Lawn, Miguel Ortega
Institutions: Imperial College London, Universidad de Granada
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Awards: G1175115578, G121809054, G1462035462, G161246385, G1622782223, G1855990336, G2184410397, G2193086574, G2262748287, G2281333282, G2309174360, G2660406951, G279363373, G300979063, G34346518, G3480869486, G3518538256, G410571670, G425668148, G430777504, G451917667, G4526231891, G5080475149, G5421974903, G5539308778, G5644347969, G567365627, G5805502524, G5967599077, G6200043914, G7084143925, G897484643, G929308097, G99296377
OpenAlex ID: W4414402867