TY  - JOUR
ID  - Bihun2008
LB  - Bihun2008
AU  - Bihun, Oksana
AU  - Chicone, Carmen
TI  - Deformation minimal bending of compact manifolds: case of simple closed curves
ST  - Deformation minimal bending of compact manifolds: case of simple closed curves
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2008
VL  - 28
IS  - 1
SP  - 19
EP  - 28
DO  - http://dx.doi.org/10.7494/OpMath.2008.28.1.19
UR  - http://dx.doi.org/10.7494/OpMath.2008.28.1.19
AB  - 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.
KW  - minimal deformation
KW  - distortion minimal
KW  - geometric optimization
SN  - 1232-9274
ER  -