2-manifolds of constant curvature, 3-parameter isometry groups and Bäcklund transformations

DOI10.1016/0034-4877(80)90005-1zbMath0496.35074OpenAlexW1964648810MaRDI QIDQ1170449

Luke Hodgkin, D. C. Robinson, Mike Crampin

Publication date: 1980

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(80)90005-1

zbMATH Keywords

Riemannian manifoldBäcklund transformationssine-Gordon equationsoliton equations2-manifolds of constant curvature3-parameter isometry groupsisometry group SL(2,R)

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Global Riemannian geometry, including pinching (53C20) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

Unnamed Item, Existence of strong Bäcklund transformations in four or more dimensions and generalization of a family of Bäcklund transformations, On generalized Bäcklund transformations for equations describing pseudo-spherical surfaces

Cites Work

• Particle states of a quantized meson field
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