Three-dimensional manifolds having metrics with the same geodesics
نویسندگان
چکیده
منابع مشابه
Riemannian metrics having the same geodesics with Berwald metrics
In Theorem 1, we generalize the results of Szabó [Sz1, Sz2] for Berwald metrics that are not necessary strictly convex: we show that for every Berwald metric F there always exists a Riemannian metric affine equivalent to F . Further, we investigate geodesic equivalence of Berwald metrics. Theorem 2 gives a system of PDE that has a (nontrivial) solution if and only if the given essentially Berwa...
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ژورنال
عنوان ژورنال: Topology
سال: 2003
ISSN: 0040-9383
DOI: 10.1016/s0040-9383(03)00004-1