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Cayley-Klein-Hilbert Metric

The metric of Felix Klein's model for hyperbolic geometry,

g_(11)=(a^2(1-x_2^2))/((1-x_1^2-x_2^2)^2)
(1)
g_(12)=(a^2x_1x_2)/((1-x_1^2-x_2^2)^2)
(2)
g_(22)=(a^2(1-x_1^2))/((1-x_1^2-x_2^2)^2).
(3)

See also

Hyperbolic Geometry

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Cite this as:

Weisstein, Eric W. "Cayley-Klein-Hilbert Metric." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Cayley-Klein-HilbertMetric.html

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