Two-dimensional metrics admitting precisely one projective vector field

Details Two-dimensional metrics admitting precisely one projective vector field Two-dimensional metrics admitting precisely one projective vector field

2008-02-17

arxiv.org/abs/0802.2344v2

Mathematics

Differential Geometry

42 pages, no figures. The changes w.r.t. (v1) are the following: A paragraph with explanations was added in the introduction,

Scientific paper

We give a complete list of two-dimensional metrics that admit an essential
projective vector field. This solves a problem explicitly posed by Sophus Lie
in 1882.

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