Murray, Michael K. The information metric on rational maps. (English) Zbl 0808.58020 Exp. Math. 2, No. 4, 271-279 (1993). 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”. Reviewer: V.Pavlenko (Chelyabinsk) MSC: 58E20 Harmonic maps, etc. 58E15 Variational problems concerning extremal problems in several variables; Yang-Mills functionals 53C20 Global Riemannian geometry, including pinching Keywords:information metric; moduli spaces; nondegenerate; harmonic maps Software:Maple × Cite Format Result Cite Review PDF Full Text: DOI Euclid EuDML EMIS References: [1] Amari S., Differential Geometrical Methods in Statistics (1985) · Zbl 0559.62001 · doi:10.1007/978-1-4612-5056-2 [2] Bruce Cha W., Maple V Language Reference Manual (1991) [3] Donaldson S. K., The Geometry of Four-Manifolds (1990) · Zbl 0820.57002 [4] Eells J., Selected topics in harmonic maps (1983) · Zbl 0515.58011 [5] Groisser D., Commun. Math. Phys. 112 pp 663– (1987) · Zbl 0637.53037 · doi:10.1007/BF01225380 [6] Hitchin N. J., Global Geometry and Mathematical Physics (1988) [7] Milnor J., Experimental Mathematics pp 37– (1993) [8] Murray M. K., Statistics and Differential Geometry (1993) · Zbl 0804.53001 [9] Rao C. R., Bull. Calcutta Math. Soc. 37 pp 81– (1945) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.