Minimal Distortion Bending and Morphing of Compact Manifolds

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dc.creatorBihun, Oksana
dc.creatorChicone, Carmen
dc.date2007-08-30
dc.date.accessioned2026-07-07T08:26:50Z
dc.date.available2026-07-07T08:26:50Z
dc.descriptionLet $M$ and $N$ be compact smooth oriented Riemannian $n$-manifolds without boundary embedded in $\mathbb{R}^{n+1}$. Several problems about minimal distortion bending and morphing of $M$ to $N$ are posed. Cost functionals that measure distortion due to stretching or bending produced by a diffeomorphism $h:M \to N$ are defined, and new results on the existence of minima of these cost functionals are presented. In addition, the definition of a morph between two manifolds $M$ and $N$ is given, and the theory of minimal distortion morphing of compact manifolds is reviewed.
dc.identifierhttps://arxiv.org/abs/0708.4235
dc.identifierhttp://arxiv.org/abs/0708.4235
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137077
dc.subjectOptimization and Control
dc.subjectDifferential Geometry
dc.subject58E99
dc.titleMinimal Distortion Bending and Morphing of Compact Manifolds
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