Geodesic
TWO REMARKS ON PQε-PROJECTIVITY OF RIEMANNIAN METRICS
Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 131-138

Voir la notice de l'article provenant de la source Cambridge University Press

We show that PQε-projectivity of two Riemannian metrics introduced in [15] (P. J. Topalov, Geodesic compatibility and integrability of geodesic flows, J. Math. Phys.44(2) (2003), 913–929.) implies affine equivalence of the metrics unless ε ∈ {0,−1,−3,−5,−7,. . .}. Moreover, we show that for ε=0, PQε-projectivity implies projective equivalence.
DOI : 10.1017/S0017089512000390
Mots-clés : 53B20, 53B35, 53C21, 53C22, 53C55, 37J35, 70H06 
MATVEEV, VLADIMIR S.; ROSEMANN, STEFAN. TWO REMARKS ON PQε-PROJECTIVITY OF RIEMANNIAN METRICS. Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 131-138. doi: 10.1017/S0017089512000390
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