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RISS 인기검색어
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- 저자 : Ozkan Tukel, Gozde (검색결과 2 건)
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Ozkan Tukel, Gozde,Turhan, Tunahan,Yucesan, Ahmet The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.2
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).
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Gozde Ozkan Tukel,Tunahan Turhan,Ahmet Yucesan 호남수학회 2019 호남수학학술지 Vol.41 No.2
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 $SO(3).$
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