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March 16, 2016 11:50 WSPC/S0219-8878 IJGMMP-J043 1650047: Generalized Elastica On 2-Dimensional de Sitter Space S by Emilija Nesovic is a document available to read on EtoBox.
This paper investigates the extremals of curvature energy actions on non-null regular curves in 2-dimensional de Sitter space, solving the Euler–Lagrange equation and expressing generalized elastica through integrals. The authors utilize Killing fields to construct special coordinate systems and derive significant results related to the curvature energy functionals. The findings extend previous results on elastic curves in spaces of constant sectional curvature and have implications in mathematical modeling
- Author
- Emilija Nesovic
- Language
- EN