Curve-straightening in closed Euclidean submanifolds

DOI10.1007/BF02099668zbMath0735.58013OpenAlexW2090978807MaRDI QIDQ1814253

Anders Linnér

Publication date: 25 June 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02099668

zbMATH Keywords

Hilbert manifoldgeodesic curvatureclosed geodesics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (4)

Existence of free nonclosed Euler–Bernoulli elastica ⋮ Periodic Geodesics Generator ⋮ Kirchhoff elastic rods in five-dimensional space forms whose centerlines are not helices ⋮ GLOBAL SOLUTIONS OF THE EQUATION OF THE KIRCHHOFF ELASTIC ROD IN SPACE FORMS

Cites Work

• The total squared curvature of closed curves
• The heat equation shrinking convex plane curves
• Curve-straightening in Riemannian manifolds
• The heat equation shrinks embedded plane curves to round points
• Manifolds, tensor analysis, and applications.
• Critical point theory and submanifold geometry
• Some Properties of the Curve Straightening Flow in the Plane

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