Abstract
In this paper, the extremals of curvature energy actions on non-null regular curves in 2-dimensional de Sitter space are studied. We completely solve the Euler–Lagrange equation by quadratures. By using the Killing field, we construct three special coordinate systems and express the generalized elastica in 2-dimensional de Sitter space [Formula: see text] by integral explicitly.
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Schedule a callMore From: International Journal of Geometric Methods in Modern Physics
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