ELASTICA ON 2-DIMENSIONAL ANTI-DE SITTER SPACE

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YÜCESAN A., Oral M.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.8, no.1, pp.107-113, 2011 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 8 Issue: 1
• Publication Date: 2011
• Doi Number: 10.1142/s0219887811005002
• Journal Name: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.107-113
• Süleyman Demirel University Affiliated: Yes

Abstract

We derive differential equations for non-null elastic curves on 2-dimensional anti-de Sitter space. Then, we solve these differential equations in terms of Jacobi's elliptic functions. Also, we give a relation between curvature and torsion of elastic curve on 2-dimensional anti-de Sitter space.