Self-similar curve shortening flow in hyperbolic 2-space

DOI10.1090/proc/15770zbMath1491.53100arXiv2101.07469OpenAlexW3123646226MaRDI QIDQ5027174

Ran Xie, Eric Woolgar

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.07469

zbMATH Keywords

Minkowski spacesolitongeodesic curvaturegeometric flowhypebolic plane

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Geometric evolution equations (53E99)

Related Items (2)

The flow-curvature of spacelike parametrized curves in the Lorentz plane ⋮ Soliton solutions to the curve shortening flow on the 2-dimensional hyperbolic space

Cites Work

• Unnamed Item
• An isoperimetric inequality with applications to curve shortening
• Curve shortening makes convex curves circular
• The heat equation shrinking convex plane curves
• Shortening embedded curves
• Self-similar solutions to the curve shortening flow
• Topology of cosmic domains and strings
• Soliton solutions to the curve shortening flow on the sphere

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