A solution of a problem of Sophus Lie: Normal forms of two-dimensional metrics admitting two projective vector fields

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2008-02-01

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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.

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10.1007/s00208-007-0158-3

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Bryant, RL, G Manno and VS Matveev (2008). A solution of a problem of Sophus Lie: Normal forms of two-dimensional metrics admitting two projective vector fields. Mathematische Annalen, 340(2). pp. 437–463. 10.1007/s00208-007-0158-3 Retrieved from https://hdl.handle.net/10161/13154.

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