A solution of a problem of Sophus Lie: Normal forms of two-dimensional metrics admitting two projective vector fields
dc.contributor.author | Bryant, RL | |
dc.contributor.author | Manno, G | |
dc.contributor.author | Matveev, VS | |
dc.date.accessioned | 2016-12-05T18:49:37Z | |
dc.date.issued | 2008-02-01 | |
dc.description.abstract | We give a complete list of normal forms for the two-dimensional metrics that admit a transitive Lie pseudogroup of geodesic-preserving transformations and we show that these normal forms are mutually non-isometric. This solves a problem posed by Sophus Lie. © 2007 Springer-Verlag. | |
dc.identifier.issn | 0025-5831 | |
dc.identifier.uri | ||
dc.publisher | Springer Science and Business Media LLC | |
dc.relation.ispartof | Mathematische Annalen | |
dc.relation.isversionof | 10.1007/s00208-007-0158-3 | |
dc.title | A solution of a problem of Sophus Lie: Normal forms of two-dimensional metrics admitting two projective vector fields | |
dc.type | Journal article | |
duke.contributor.orcid | Bryant, RL|0000-0002-4890-2471 | |
pubs.begin-page | 437 | |
pubs.end-page | 463 | |
pubs.issue | 2 | |
pubs.organisational-group | Duke | |
pubs.organisational-group | Mathematics | |
pubs.organisational-group | Trinity College of Arts & Sciences | |
pubs.publication-status | Published | |
pubs.volume | 340 |
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