ELASTICA ON 2-DIMENSIONAL ANTI-DE SITTER SPACE


YÜCESAN A. , Oral M.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.8, ss.107-113, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 8 Konu: 1
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1142/s0219887811005002
  • Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Sayfa Sayısı: ss.107-113

Özet

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.