Self-similar solutions to the MCF in \(\mathbb{R}^3\)

DOI10.1016/j.difgeo.2023.101985OpenAlexW4319068619MaRDI QIDQ2693289

Rafael Novais, Hiuri dos Reis, Benedito Leandro

Publication date: 20 March 2023

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.10688

zbMATH Keywords

mean curvature flowself-similar solutionsruled surfacessurfaces of revolution

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Soliton solutions (35C08) Flows related to mean curvature (53E10)

Cites Work

• Ruled surfaces of generalized self-similar solutions of the mean curvature flow
• A characterization of the grim reaper cylinder
• Helicoidal surfaces rotating/translating under the mean curvature flow
• A family of MCF solutions for the Heisenberg group
• Self-similar solutions to the mean curvature flow in the Minkowski plane \(\mathbb{R}^{1,1}\)
• Self-similar solutions to the curve shortening flow
• The mean curvature flow by parallel hypersurfaces
• Soliton solutions to the curve shortening flow on the sphere
• Mean curvature flow
• Soliton solutions for the mean curvature flow

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