• 제목/요약/키워드: Hyperelastic Lie quadratic

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HYPERELASTIC LIE QUADRATICS

  • Ozkan Tukel, Gozde;Turhan, Tunahan;Yucesan, Ahmet
    • 호남수학학술지
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    • 제41권2호
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    • pp.369-380
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    • 2019
  • 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).