Crampin, M.; Hodgkin, L.; Robinson, David 2-manifolds of constant curvature, 3-parameter isometry groups and Bäcklund transformations. (English) Zbl 0496.35074 Rep. Math. Phys. 17, 373-383 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents 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 Keywords:2-manifolds of constant curvature; 3-parameter isometry groups; Bäcklund transformations; soliton equations; sine-Gordon equation; Riemannian manifold; isometry group SL(2,R) PDF BibTeX XML Cite \textit{M. Crampin} et al., Rep. Math. Phys. 17, 373--383 (1980; Zbl 0496.35074) Full Text: DOI References: [1] Eisenhart, L.P., A treatise on the differential geometry of curves and surfaces, (1960), Dover New York · Zbl 0173.30601 [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 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.