Nonholonomous geodesics as solutions to Euler-Lagrange integral equations and the differential of the exponential mapping

DOI10.3103/S1063454109030054zbMath1175.49041MaRDI QIDQ1036942

V. R. Krym

Publication date: 13 November 2009

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldEuler-Lagrange methodhorizontal geodesics

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Global Riemannian geometry, including pinching (53C20) Differentiable manifolds, foundations (58A05)

Related Items (2)

Index form for nonholonomic distributions ⋮ The Schouten curvature tensor and the Jacobi equation in sub-Riemannian geometry

Cites Work

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• Equations of motion of a charged particle in a five-dimensional model of the general theory of relativity with a nonholonomic four-dimensional velocity space
• Sub-Riemannian geometry
• Geodesic equations for a charged particle in the unified theory of gravitational and electromagnetic interactions
• The curvature tensor and the Einstein equations for a four-dimensional nonholonomic distribution

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