Deformation minimal bending of compact manifolds: case of simple closed curves
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 fo...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
AGH Univeristy of Science and Technology Press
2008-01-01
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Series: | Opuscula Mathematica |
Subjects: | |
Online Access: | http://www.opuscula.agh.edu.pl/vol28/1/art/opuscula_math_2802.pdf |