@Article{Bihun2008,
author = "Bihun, Oksana and Chicone, Carmen",
title = "Deformation minimal bending of compact manifolds: case of simple closed curves",
journal = "Opuscula Math.",
year = "2008",
volume = "28",
number = "1",
pages = "19--28",
doi = "http://dx.doi.org/10.7494/OpMath.2008.28.1.19",
url = "http://dx.doi.org/10.7494/OpMath.2008.28.1.19",
abstract = "The 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 \(\Phi\) on the set of diffeomorphisms \(\text{Diff}(M,N)\). We derive the Euler-Lagrange equation for \(\Phi\) and determine smooth minimizers of \(\Phi\) in case \(M\) and \(N\) are simple closed curves.",
keywords = "minimal deformation, distortion minimal, geometric optimization",
issn = "1232-9274"
}