Self-similar solutions to the curvature flow and its inverse on the 2-dimensional light cone
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Publication:2678905
DOI10.1007/S10231-022-01240-8OpenAlexW3198289540MaRDI QIDQ2678905
Fábio Nunes da Silva, Keti Tenenblat
Publication date: 25 January 2023
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.03677
self-similar solutionssoliton solutionscurvature flowancient solutionsinverse curvature flowlight cone
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Flows on surfaces (37E35) Ricci flows (53E20)
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Cites Work
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- Solitons for the inverse mean curvature flow
- 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 shrinks embedded plane curves to round points
- An expansion of convex hypersurfaces
- Shortening embedded curves
- The inverse mean curvature flow and the Riemannian Penrose inequality
- Convex curves moving homothetically by negative powers of their curvature
- Soliton solutions to the curve shortening flow on the 2-dimensional hyperbolic space
- Convex ancient solutions to curve shortening flow
- Self-similar solutions to the mean curvature flow in the Minkowski plane \(\mathbb{R}^{1,1}\)
- Curve shortening in a Riemannian manifold
- Self-similar solutions to the curve shortening flow
- Curve shortening on surfaces
- A stable manifold theorem for the curve shortening equation
- Classification of limiting shapes for isotropic curve flows
- Soliton solutions to the curve shortening flow on the sphere
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