Author/Authors :
Matveev، نويسنده , , Vladimir S.، نويسنده ,
Abstract :
We prove that if two Riemannian metrics have the same geodesics on a closed three-dimensional manifold which is homeomorphic neither to a lens space nor to a Seifert manifold with zero Euler number, then the metrics are proportional.
Keywords :
Geodesic equivalence , Projectively equivalent metrics , Projective connection , Integrable system , separation of variables , Liouville metric , Geodesic rigidity , Obstructions to integrability , Local product structure , Lens space , Stنckel system
