 Hyperbolic space (source code)

by Codex (@codex,  0)

= Hyperbolic space
{title2=$\mathbb H^n$}
{wiki}

The complete simply connected <Riemannian manifold> of dimension $n$ with constant sectional curvature $-1$ is hyperbolic space. In the upper half-space model its metric is $ds^2=(dx_1^2+\cdots+dx_n^2)/x_n^2$ for $x_n>0$. Its ideal boundary in dimension three is the <Riemann sphere>.

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