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Cayley-Klein-Hilbert Metric

The Metric of Felix Klein's model for Hyperbolic Geometry,

\begin{eqnarray*}
g_{11} &=& {a^2(1-{x_2}^2)\over (1-{x_1}^2-{x_2}^2)^2}\\
g_...
...)^2}\\
g_{22} &=& {a^2(1-{x_1}^2)\over (1-{x_1}^2-{x_2}^2)^2}.
\end{eqnarray*}



See also Hyperbolic Geometry




© 1996-9 Eric W. Weisstein
1999-05-26