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Curve shortening and the topology of closed geodesics on surfaces

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Publication:2494224
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DOI10.4007/annals.2005.162.1187zbMath1137.53330arXiv0705.3012OpenAlexW2952185804MaRDI QIDQ2494224

Sigurd B. Angenent

Publication date: 19 June 2006

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3012


zbMATH Keywords

Conley indexcompact surfacesflat knot types


Mathematics Subject Classification ID

Spaces of embeddings and immersions (58D10) Geodesics in global differential geometry (53C22)


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On a nonlocal contracting flow for closed convex plane curves ⋮ \(C^0\)-robustness of topological entropy for geodesic flows ⋮ Self-crossing geodesics ⋮ An application of the curve shortening flow on surfaces ⋮ Invariance of immersed Floer cohomology under Maslov flows ⋮ Generalized elastic translating solitons ⋮ ON A CURVE EXPANDING FLOW WITH A NON-LOCAL TERM ⋮ Scalar parabolic PDEs and braids ⋮ Soliton solutions to the curve shortening flow on the sphere ⋮ Soliton solutions to the curve shortening flow on the 2-dimensional hyperbolic space



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