The use of the differential geometry of a Riemannian space in the mathematical formulation of physical theories led to important developments in the geometry of such spaces. The concept of parallelism of vectors, as introduced by Levi-Civita, gave rise to a theory of the affine properties of a Riemannian space. Covariant differentiation, as developed by Christoffel and Ricci, is a fundamental process in this theory. Various writers, notably Eddington, Einstein and Weyl, in their efforts to formulate a combined theory of ...

Non-Riemannian Geometry 2005, Dover Publications, Mineola, NY

ISBN-13: 9780486442433

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Non-Riemannian Geometry 1927, American Mathematical Society, Providence

ISBN-13: 9780821810088

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