Blar i forfatter "Matveev, Vladimir S."

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    • Almost every path structure is not variational 

      Kruglikov, Boris; Matveev, Vladimir S. (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-10-15)
      Given a smooth family of unparameterized curves such that through every point in every direction there passes exactly one curve, does there exist a Lagrangian with extremals being precisely this family? It is known that in dimension 2 the answer is positive. In dimension 3, it follows from the work of Douglas that the answer is, in general, negative. We generalise this result to all higher dimensions ...

    • Strictly non-proportional geodesically equivalent metrics have htop(g) = 0 

      Matveev, Vladimir S.; Kruglikov, Boris (Journal article; Tidsskriftartikkel; Peer reviewed, 2004-10-24)
      If a closed manifold M possesses two Riemannian metrics which have the same unparameterized geodesics and are not strictly proportional at each point, then the topological entropy of both geodesic flows is zero. This is the main result of the paper and it has many dynamical and topological corollaries. In particular, such a manifoldM should be finitely covered by the product of a rationally ...