Math @ Duke
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Publications [#70375] of Robert L Bryant
search www.ams.org.Papers Accepted
- with G. Manno, V. Matveev, A solution of a problem of Sophus Lie: Normal forms of 2-dimensional metrics admitting two projective vector fields,
Mathematische Annalen
(to appear) [3592]
(last updated on 2008/01/01)
Abstract: 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 forms are mutually non-isometric. This solves a problem posed by Sophus Lie.
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