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The information metric on rational maps. (English) Zbl 0808.58020
Abstract of the author: “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”.
MSC:
58E20 Harmonic maps, etc.
58E15 Variational problems concerning extremal problems in several variables; Yang-Mills functionals
53C20 Global Riemannian geometry, including pinching
Software:
Maple
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References:
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