Deformation minimal bending of compact manifolds: case of simple closed curves

Szczegóły
Opis

Tytuł:: Deformation minimal bending of compact manifolds: case of simple closed curves
Autorzy:: Bihun, O.
Chicone, C.
Data publikacji:: 2008
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: minimal deformation
distortion minimal
geometric optimization
Źródło:: Opuscula Mathematica; 2008, 28, 1; 19-28
1232-9274
2300-6919
Język:: angielski
Prawa:: CC BY: Creative Commons Uznanie autorstwa 3.0 PL
Dostawca treści:: Biblioteka Nauki
: Artykuł

Przejdź do źródła

The problem of minimal distortion bending of smooth compact embedded con-nected 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.

Informacja

Deformation minimal bending of compact manifolds: case of simple closed curves