Geodesic Equivalence via Integrability

By P. Topalov, V. Matveev. 2003

85 citations recorded by the source corpus.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/135d4f769dc7d77d3dcda304e607e74021c1a3ab

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. S. Benenti
2. G. Manno
3. Robert L. Bryant
4. Serge Tabachnikov
5. V. Matveev
6. Sergey Grigorian
7. Spiro Karigiannis
8. V. Apostolov

In Astronomy and Astrophysics

1. S. Benenti
2. Serge Tabachnikov
3. Robert L. Bryant
4. V. Matveev
5. H. Rademacher
6. Zhongmin Shen
7. V. Apostolov
8. D. Calderbank

In Geometry and Topology

1. Serge Tabachnikov
2. S. Benenti
3. Valentin Ovsienko
4. G. Manno
5. Robert L. Bryant
6. V. Matveev
7. Sophie Morier-Genoud
8. Max Glick

Citations in the corpus

• A solution of a problem of Sophus Lie: normal forms of two-dimensional metrics admitting two projective vector fields (2007, background): “Another direct corollary of Theorem 3 (see, for example, [27, 29], or Section 2.”
• Special Symmetric Two-tensors, Equivalent Dynamical Systems, Cofactor and Bi-cofactor Systems (2005, methodology): “The argument used here for proving the Beltrami Theorem 5.4 is similar to that used in (Matveev and Topalov,1999) and ( Topalov and Matveev, 2003 ).”
• Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups (2004, background): “9 were independently discovered by Matveev and Topalov [144, 145, 146, 147].”