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arXiv · 0802.2344

Two-dimensional metrics admitting precisely one projective vector field

Vladimir S. Matveev
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Abstract

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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Vladimir S. Matveev. 2009-10-21. Two-dimensional metrics admitting precisely one projective vector field. https://arxiv.org/abs/0802.2344

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