A1 Journal article (refereed)
Translating Solitons Over Cartan–Hadamard Manifolds (2023)

Casteras, J.-B., Heinonen, E., Holopainen, I., & De Lira, J. H. (2023). Translating Solitons Over Cartan–Hadamard Manifolds. Journal of Geometric Analysis, 33(5), Article 163. https://doi.org/10.1007/s12220-023-01218-9

JYU authors or editors

Publication details

All authors or editorsCasteras, Jean-Baptiste; Heinonen, Esko; Holopainen, Ilkka; De Lira, Jorge H.

Journal or seriesJournal of Geometric Analysis



Publication year2023

Publication date28/02/2023


Issue number5

Article number163

PublisherSpringer Science and Business Media LLC

Publication countryUnited States

Publication languageEnglish


Publication open accessOpenly available

Publication channel open accessPartially open access channel

Publication is parallel published (JYX)https://jyx.jyu.fi/handle/123456789/85910

Web address of parallel published publication (pre-print)https://arxiv.org/abs/2007.02989


We prove existence results for entire graphical translators of the mean curvature flow (the so-called bowl solitons) on Cartan–Hadamard manifolds. We show that the asymptotic behavior of entire solitons depends heavily on the curvature of the manifold, and that there exist also bounded solutions if the curvature goes to minus infinity fast enough. Moreover, it is even possible to solve the asymptotic Dirichlet problem under certain conditions.

Keywordsdifferential geometrymanifolds (mathematics)Riemannian manifolds

Free keywordsmean curvature equation; translating graphs; Hadamard manifold

Contributing organizations

Ministry reportingYes

Reporting Year2023

JUFO rating2

Last updated on 2024-15-06 at 21:26