HYPERELASTIC LIE QUADRATICS
HONAM MATHEMATICAL JOURNAL, cilt.41, sa.2, ss.369-380, 2019 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 41 Sayı: 2
- Basım Tarihi: 2019
- Doi Numarası: 10.5831/hmj.2019.41.2.369
- Dergi Adı: HONAM MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.369-380
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
Inspired by the problem of finding hyperelastic curves in a Riemannian manifold, we present a study on the variational problem of a hyperelastic curve in Lie group. In a Riemannian manifold, we reorganize the characterization of the hyperelastic curve with appropriate constraints. By using this equilibrium equation, we derive an Euler-Lagrange equation for the hyperelastic energy functional defined in a Lie group G equipped with bi-invariant Riemannian metric. Then, we give a solution of this equation for a null hyperelastic Lie quadratic when Lie group G is SO(3).