Soliton solutions to the curve shortening flow on the 2-dimensional hyperbolic space
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Publication:2104849
DOI10.4171/RMI/1343WikidataQ115481559 ScholiaQ115481559MaRDI QIDQ2104849
Fábio Nunes da Silva, Keti Tenenblat
Publication date: 8 December 2022
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.07916
Non-Euclidean differential geometry (53A35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Flows on surfaces (37E35) Soliton solutions (35C08) Flows related to mean curvature (53E10)
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Cites Work
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- An isoperimetric inequality with applications to curve shortening
- Curve shortening makes convex curves circular
- On the formation of singularities in the curve shortening flow
- The normalized curve shortening flow and homothetic solutions
- The heat equation shrinking convex plane curves
- The heat equation shrinks embedded plane curves to round points
- Shortening embedded curves
- Self-similar solutions to the mean curvature flow in the Minkowski plane \(\mathbb{R}^{1,1}\)
- Curve shortening in a Riemannian manifold
- Curve shortening and the topology of closed geodesics on surfaces
- Self-similar solutions to the curve shortening flow
- A stable manifold theorem for the curve shortening equation
- Self-similar curve shortening flow in hyperbolic 2-space
- Soliton solutions to the curve shortening flow on the sphere
- Curve shortening flows in warped product manifolds