Variationality of geodesic circles in two dimensions
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Publication:3615783
zbMath1158.70006arXiv1407.6050MaRDI QIDQ3615783
Publication date: 24 March 2009
Abstract: This note treats the notion of Lagrange derivative for the third order mechanics in the context of covariant Riemannian geometry. The variational differential equation for geodesic circles in two dimensions is obtained. The influence of the curvature tensor on the Lagrange derivative leads to the emergence of the notion of quasiclassical spin in the pseudo-Riemannian case.
Full work available at URL: https://arxiv.org/abs/1407.6050
Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50)
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