April 1973
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3,952 Citations
American Journal of Physics
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... The curvature of the hyperbolic plane, explicitly twice the Gaussian curvature, can be computed via the Ricci scalar R. To this end, we compute the Christoel symbols Γ i jk as well as the Riemann tensor R i ikl and the Ricci tensor R jl = R i jil . A detailed discussion of these objects can be found in Ref. [38], for example. The parameterization of the metric in terms of x 1 -and x 2 -coordinates gives: ...
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April 1973
American Journal of Physics