## Experimental Mathematics

- Experiment. Math.
- Volume 2, Issue 4 (1993), 271-279.

### The information metric on rational maps

#### Abstract

The information metric is a construction in statistics which can be used to define a (possibly degenerate) metric on various moduli spaces such as those of instantons and harmonic maps. This metric is shown to be nondegenerate for the space of harmonic maps of the two-sphere onto itself of any degree.

#### Article information

**Source**

Experiment. Math., Volume 2, Issue 4 (1993), 271-279.

**Dates**

First available in Project Euclid: 24 March 2003

**Permanent link to this document**

https://projecteuclid.org/euclid.em/1048516037

**Mathematical Reviews number (MathSciNet)**

MR1281475

**Zentralblatt MATH identifier**

0808.58020

**Subjects**

Primary: 58E20: Harmonic maps [See also 53C43], etc.

Secondary: 58D27: Moduli problems for differential geometric structures

#### Citation

Murray, Michael K. The information metric on rational maps. Experiment. Math. 2 (1993), no. 4, 271--279. https://projecteuclid.org/euclid.em/1048516037