TWO REMARKS ON PQε-PROJECTIVITY OF RIEMANNIAN METRICS
Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 131-138
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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.
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
@article{10_1017_S0017089512000390,
author = {MATVEEV, VLADIMIR S. and ROSEMANN, STEFAN},
title = {TWO {REMARKS} {ON} {PQ\ensuremath{\varepsilon}-PROJECTIVITY} {OF} {RIEMANNIAN} {METRICS}},
journal = {Glasgow mathematical journal},
pages = {131--138},
year = {2013},
volume = {55},
number = {1},
doi = {10.1017/S0017089512000390},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000390/}
}
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