Topological properties of manifolds admitting a $Y^x$-Riemannian metric

@article{Chernov2010TopologicalPO,
  title={Topological properties of manifolds admitting a \$Y^x\$-Riemannian metric},
  author={V. Chernov and Paul Kinlaw and R. Sadykov},
  journal={Journal of Geometry and Physics},
  year={2010},
  volume={60},
  pages={1530-1538}
}
  • V. Chernov, Paul Kinlaw, R. Sadykov
  • Published 2010
  • Mathematics, Physics
  • Journal of Geometry and Physics
  • Abstract A complete Riemannian manifold ( M , g ) is a Y l x -manifold if every unit speed geodesic γ ( t ) originating at γ ( 0 ) = x ∈ M satisfies γ ( l ) = x for 0 ≠ l ∈ R . Berard-Bergery proved that if ( M m , g ) , m > 1 is a Y l x -manifold, then M is a closed manifold with finite fundamental group, and the cohomology ring H ∗ ( M , Q ) is generated by one element. We say that ( M , g ) is a Y x -manifold if for every ϵ > 0 there exists l > ϵ such that for every unit speed geodesic γ ( t… CONTINUE READING
    4 Citations
    Refocusing of light rays in space-time
    • 4
    • PDF
    Geometric structures and causality in the space of ligth rays of a spacetime
    • PDF
    Some Recent Research Work and Plans
      • PDF

      References

      SHOWING 1-10 OF 32 REFERENCES
      Linking, Legendrian Linking and Causality
      • 22
      • PDF
      The Space of Null Geodesics (and a New Causal Boundary)
      • 30
      • Highly Influential
      • PDF
      Legendrian Links, Causality, and the Low Conjecture
      • 37
      • PDF
      Riemannian Geometry
      • 5,178
      • PDF
      Twistor linking and causal relations
      • 28