By Luther Pfahler Eisenhart
In Riemannian geometry, parallelism is set geometrically through this estate: alongside a geodesic, vectors are parallel in the event that they make an identical perspective with the tangents. In non-Riemannian geometry, the Levi-Civita parallelism imposed a priori is changed by way of a choice via arbitrary features (affine connections). during this quantity, Eisenhart investigates the most effects of the deviation.
Starting with a attention of uneven connections, the writer proceeds to a contrasting survey of symmetric connections. Discussions of the projective geometry of paths stick with, and the ultimate bankruptcy explores the geometry of sub-spaces.
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