RIGIDITY OF BROKEN GEODESIC FLOW AND INVERSE PROBLEMS By

@inproceedings{Kurylev2008RIGIDITYOB,
  title={RIGIDITY OF BROKEN GEODESIC FLOW AND INVERSE PROBLEMS By},
  author={Yaroslav Kurylev and Matti Lassas and Gunther Uhlmann},
  year={2008}
}
Consider broken geodesics α([0, l]) on a compact Riemannian manifold (M, g) with boundary of dimension n ≥ 3. The broken geodesics are unions of two geodesics with the property that they have a common end point. Assume that for every broken geodesic α([0, l]) starting at and ending to the boundary ∂M we know the starting point and direction (α(0),α′(0)), the end point and direction (α(l),α′(l)), and the length l. We show that this data determines uniquely, up to an isometry, the manifold (M, g… CONTINUE READING

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References

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Showing 1-10 of 39 references

Recovering singularities of a potential from singularities of scattering data

  • A. Greenleaf, G. Uhlmann
  • Comm. Math. Phys. 157
  • 1993
Highly Influential
5 Excerpts

Sur la rigidité imposee par la longuer des géodesiques

  • R. Michel
  • Invent. Math. 65
  • 1981
Highly Influential
3 Excerpts

Lagrangian intersection and the Cauchy problem

  • R. Melrose, G. Uhlmann
  • Comm. Pure Appl. Math. 32
  • 1979
Highly Influential
4 Excerpts

Stable construction of a Riemannian manifold from it boundary distance functions

  • A. Katsuda, Y. Kurylev, M. Lassas
  • Inverse Problems and Imaging 1
  • 2007
2 Excerpts

Optical tomography on simple Riemannian surfaces

  • S. McDowall
  • Comm. Partial Differential Equations 30
  • 2005

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