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

Author:

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

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference39 articles.

1. Aminova, A.V.: A Lie problem, projective groups of two-dimensional Riemann surfaces, and solitons. Izv. Vyssh. Uchebn. Zaved. Mat. 1990, 6:3–10, translation in Soviet Math. (Iz. VUZ) 34(6):1–9 (1990)

2. Aminova A.V. (2003). Projective transformations of pseudo-Riemannian manifolds. Geometry 9. Math. Sci. (N. Y.) 113(3): 367–470

3. Beltrami E. (1865). Resoluzione del problema: riportari i punti di una superficie sopra un piano in modo che le linee geodetische vengano rappresentante da linee rette. Ann. Mat. 1(7): 185–204

4. Benenti S. (2005). Special symmetric two-tensors, equivalent dynamical systems, cofactor and bi-cofactor systems. Acta Appl. Math. 87(1–3): 33–91

5. Bryant, R.L., Manno, G., Matveev, V.S.: A solution of a problem of Sophus Lie: normal forms of 2-dim metrics admitting two projective vector fields. arXiv:0705.3592

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