Symmetrized curve-straightening

Differential Geometry and its Application

Volumn 18, Issue 2, 2003, Pages 119-146

  Linnér, Anders ^a  

^a NORTHERN ILLINOIS UNIVERSITY   (United States)

Author keywords

Curve straightening; Gradient flow; Steepest descent; Symmetry

Indexed keywords

EID: 0037365356     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-2245(02)00144-4     Document Type: Article

References (5)

1. R. Abraham, J.E. Marsden, T. Ratiu, Manifolds, Tensor Analysis, and Applications, 2nd Edition, Springer-Verlag, Berlin, 1988.
2. A. Linnér, Some properties of the curve straightening flow in the plane, Trans. Amer. Math. Soc. 314 (1989) 605-617.
3. 2 defined on curves in the plane with arbitrary boundary conditions, in: Geometric Analysis and Computer Graphics, in: MSRI Publications, Vol. 17, Springer-Verlag, Berlin, 1991, pp. 127-138.
4. A. Linnér, Curve-straightening and the Palais-Smale condition, Trans. Amer. Math. Soc. 350 (1998) 3743-3765.
5. A. Linnér, Gradients, preferred metrics and asymmetries, Preprint, 2001, http://www.math.niu.edu/~alinner/.