Connection theory on differentiable fibre bundles: A concise introduction.
Iliev, Bozhidar Z. (2006)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Linearisation of second-order differential equations.”
Connection theory on differentiable fibre bundles: A concise introduction.
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Around 1923, Élie Cartan introduced affine connections on manifolds and defined the main related concepts: torsion, curvature, holonomy groups. He discussed applications of these concepts in Classical and Relativistic Mechanics; in particular he explained how parallel transport with respect to a connection can be related to the principle of inertia in Galilean Mechanics and, more generally, can be used to model the motion of a particle in a gravitational field. In subsequent papers,...