TOPICS
Search

Hyperbolic Metric

The metric

ds^2=(dx^2+dy^2)/((1-x^2-y^2)^2)

for the Poincaré hyperbolic disk, which is a model for hyperbolic geometry. The hyperbolic metric is invariant under conformal maps of the disk onto itself.

See also

Hyperbolic Geometry, Poincaré Hyperbolic Disk

Explore with Wolfram|Alpha

References

Bear, H. S. "Part Metric and Hyperbolic Metric." Amer. Math. Monthly 98, 109-123, 1991.

Referenced on Wolfram|Alpha

Hyperbolic Metric

Cite this as:

Weisstein, Eric W. "Hyperbolic Metric." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HyperbolicMetric.html

Subject classifications