Recent content by tasguitar7

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    Graduate Distinguishing Riemannian Manifolds by Curvature Relationships

    Consider two pseudo-Riemmannian manifolds, ##M## and ##N##. Suppose that in coordinates ##y^\mu## on ##M## and ##x^\mu## on ##N##, the Riemann curvatures ##R^M## and ##R^N## of ##M## and ##N## are related by a coordinate transformation ##y = y(x)##: \begin{equation*} R^N_{\rho\mu\sigma\nu} =...