TRANSLATING SOLITONS FOR THE MEAN CURVATURE FLOW IN

DOI10.1017/S0004972722000405zbMath1506.53098OpenAlexW4226477481MaRDI QIDQ5053473

Ho-Joo Lee

Publication date: 6 December 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722000405

zbMATH Keywords

mean curvature flowsolitonsGauss map

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Flows related to mean curvature (53E10)

Cites Work

• Complete embedded self-translating surfaces under mean curvature flow
• Some examples of self-similar solutions and translating solitons for Lagrangian mean curvature flow
• Subsequent singularities in mean-convex mean curvature flow
• Stability of translating solutions to mean curvature flow
• Self-similar solutions and translating solitons for Lagrangian mean curvature flow
• Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
• Helicoidal surfaces rotating/translating under the mean curvature flow
• Variational problems of minimal surface type. II: Boundary value problems for the minimal surface equation
• Infinite boundary value problems for surfaces of constant mean curvature
• A Weierstrass type representation for translating solitons and singular minimal surfaces
• A Relation between Mean Curvature Flow Solitons and Minimal Submanifolds
• Translating solutions to Lagrangian mean curvature flow
• The Gauss Map of Surfaces in R³ and R⁴
• Translating Tridents
• The geometry of the generalized Gauss map
• Elliptic regularization and partial regularity for motion by mean curvature
• Minimal surfaces and mean curvature flow
• TRANSLATING SOLITONS FOR LAGRANGIAN MEAN CURVATURE FLOW IN COMPLEX EUCLIDEAN PLANE

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