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19972026
most citedA solution of a problem of Sophus Lie: Normal forms of 2-dim metrics admitting two projective vector fields

78 citations · 1.2k across the 112 of their papers we have counts for

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math.DG2007★ 78 cited

A solution of a problem of Sophus Lie: Normal forms of 2-dim metrics admitting two projective vector fields

Robert L. Bryant, Gianni Manno, Vladimir S. Matveev

We give a complete list of normal forms for the 2-dimensional metrics that admit a transitive Lie pseudogroup of geodesic-preserving transformations and we show that these normal f…