By Barrett O'Neill
This e-book is an exposition of semi-Riemannian geometry (also known as pseudo-Riemannian geometry) - the learn of a delicate manifold provided with a metric tensor of arbitrary signature. The imperative certain instances are Riemannian geometry, the place the metric is confident sure, and Lorentz geometry. for a few years those geometries have constructed nearly independently: Riemannian geometry reformulated in coordinate-free style and directed towards worldwide difficulties, Lorentz geometry in classical tensor notation dedicated to common relativity. extra lately, this divergence has been reversed as physicists, turning more and more towards invariant tools, have produced result of compelling mathematical curiosity.
Read or Download Semi-Riemannian Geometry With Applications to Relativity, 103, Volume 103 (Pure and Applied Mathematics) by Barrett O'Neill (1983-07-12) PDF
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