Ruled surfaces as self-similar solutions to the harmonic mean curvature flow in Minkowski 3-space
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Publication:6650713
DOI10.1007/S00022-024-00737-2MaRDI QIDQ6650713
Publication date: 9 December 2024
Published in: Journal of Geometry (Search for Journal in Brave)
ruled surfacetranslating solitonsharmonic mean curvature flownull-scrollshomothetic self-similar solutions
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Flows related to mean curvature (53E10)
Cites Work
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- Ruled surfaces with lightlike ruling in 3-Minkowski space
- Translators of flows by powers of the Gauss curvature
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- Self-similar solutions of fully nonlinear curvature flows
- Introduction to Lorentz Geometry
- Pinching estimates and motion of hypersurfaces by curvature functions
- Contraction of surfaces by harmonic mean curvature flows and nonuniqueness of their self similar solutions
- Classification of ruled surfaces as homothetic self-similar solutions of the inverse mean curvature flow in the Lorentz-Minkowski 3-space
- Ruled surfaces as translating solitons of the inverse mean curvature flow in the three-dimensional Lorentz-Minkowski space
- Rotational \(K^{\alpha}\)-translators in Minkowski space
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