Existence and asymptotic behavior of helicoidal translating solitons of the mean curvature flow

DOI10.3934/dcds.2018256zbMath1398.53075OpenAlexW2888240322WikidataQ129321081 ScholiaQ129321081MaRDI QIDQ1791657

Daehwan Kim, Juncheol Pyo

Publication date: 10 October 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018256

zbMATH Keywords

mean curvature flowtranslating solitonhelicoidal surfacehypersurface of revolution

Mathematics Subject Classification ID

Related Items (9)

Rigidity of minimal hypersurfaces with free boundary in a ball ⋮ Properness of translating solitons for the mean curvature flow ⋮ Rotationally symmetric spacelike translating solitons for the mean curvature flow in Minkowski space ⋮ Rigidity results for mean curvature flow graphical translators moving in non-graphical direction ⋮ Translating solitons for the inverse mean curvature flow ⋮ Rigidity theorems of \(\lambda \)-translating solitons in Euclidean and Lorentz-Minkowski spaces ⋮ Unnamed Item ⋮ $\boldsymbol{O(m) \times O(n)}$ -invariant homothetic solitons for inverse mean curvature flow in $\boldsymbol {\mathbb{R}^{m+n}}$ ⋮ Half-space type theorem for translating solitons of the mean curvature flow in Euclidean space

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