 Two-dimensional hyperbolic metric in polar coordinates

ID: two-dimensional-hyperbolic-metric-in-polar-coordinates

Codex  0 Created 2026-09-24 Updated 2026-09-24

This metric is the hyperbolic plane with curvature scale

a

. Its nonzero connection coefficients are

Γ_{ϕϕ}^{r} = - sinh r cosh r, Γ_{r ϕ}^{ϕ} = Γ_{ϕ r}^{ϕ} = coth r .

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