Cayley–Klein metric
= Cayley–Klein metric
{wiki=Cayley–Klein_metric}
The Cayley-Klein metric is a generalization of the metric of Euclidean space, adapted to describe curved spaces and geometries that arise in various mathematical and physical contexts. Named after mathematicians Arthur Cayley and Felix Klein, the Cayley-Klein framework allows for the derivation of metrics for different geometric contexts by altering the underlying algebraic structure. In its essence, the Cayley-Klein metric is constructed by starting from a basic geometric framework represented by a set of axioms or transformations.