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2-manifolds of constant curvature, 3-parameter isometry groups and Bäcklund transformations. (English) Zbl 0496.35074

MSC:
35Q99 Partial differential equations of mathematical physics and other areas of application
53C20 Global Riemannian geometry, including pinching
35A30 Geometric theory, characteristics, transformations in context of PDEs
22E46 Semisimple Lie groups and their representations
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[2] Lamb, G.L.; Miura, R.M.; Lamb, G.L., Bäcklund transformations at the turn of the century, (), (1974)
[3] Scott, A.C.; Chu, F.Y.F.; McLaughlin, D.W., Proc. I.E.E.E., 61, 1443, (1973)
[4] Skyrme, Proc. roy. soc., A241, 260, (1958)
[5] Skyrme, Proc. roy. soc., A262, 237, (1961), and references therein.
[6] Singer, I.M.; Thorpe, J.A., Lecture notes on elementary topology and geometry, (1967), Scott, Foresman and Co Glenview Illinois · Zbl 0163.44302
[7] Witten, E., Some exact multi-instanton solutions of the classical Yang Mills equations, (1976), preprint
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