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

• Autorzy: Bihun O. , Chicone C.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

minimal deformation; distortion minimal; geometric optimization

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2008
• Tom: Vol. 28, no. 1
• Strony: 19--28
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Bihun O.

autor

Chicone C.

• University of Missouri-Columbia, Department of Mathematics, Columbia, Missouri 65211, USA,

Bibliografia

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