A Nonnegative function describing the ``Distance'' between neighboring points for a given
Set. A metric satisfies the Triangle Inequality

and is symmetric, so

A Set possessing a metric is called a Metric Space. When viewed as a Tensor, the metric is called a Metric Tensor.

**References**

Gray, A. ``Metrics on Surfaces.'' Ch. 13 in *Modern Differential Geometry of Curves and Surfaces.*
Boca Raton, FL: CRC Press, pp. 251-265, 1993.

© 1996-9

1999-05-26