Deformation Minimal Bending of Compact Manifolds: Case of Simple Closed Curves

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dc.creatorBihun, Oksana
dc.creatorChicone, Carmen
dc.date2007-01-31
dc.date2008-01-23
dc.date.accessioned2026-07-07T08:55:54Z
dc.date.available2026-07-07T08:55:54Z
dc.descriptionThe problem of minimal distortion bending of smooth compact embedded connected Riemannian $n$-manifolds $M$ and $N$ without boundary is made precise by defining a deformation energy functional $Φ$ on the set of diffeomorphisms $\diff(M,N)$. We derive the Euler-Lagrange equation for $Φ$ and determine smooth minimizers of $Φ$ in case $M$ and $N$ are simple closed curves.
dc.descriptionTypos corrected to match the final version of the paper, which has appeared in Opuscula Mathematica in January, 2008
dc.identifierhttps://arxiv.org/abs/math/0701901
dc.identifierhttp://arxiv.org/abs/math/0701901
dc.identifierOpuscula Mathematica, Vol. 28, No. 1 (2008) 19-28
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146426
dc.subjectOptimization and Control
dc.subjectDifferential Geometry
dc.subject58E99
dc.titleDeformation Minimal Bending of Compact Manifolds: Case of Simple Closed Curves
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