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Scattering problems in differential geometry

Part of the Lecture Notes in Mathematics book series (LNM,volume 597)

Keywords

  • Riemannian Manifold
  • Small Neighborhood
  • Rotational Symmetry
  • Tubular Neighborhood
  • Riemannian Foliation

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References

  1. N. H. Abel, Résolution d'un problème de mécanique, J. Reine Angew. Math. 1(1826), 13–18.

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  2. H. Gluck and D. Singer, Deformations of geodesic fields, Bull. Amer. Math. Soc. 82(1976), 571–574.

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  3. _____, Scattering of geodesic fields, I, to appear.

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  4. J. B. Keller, Inverse problems, Amer. Math. Monthly 83(1976), 107–118.

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  5. J. R. Munkres, ELEMENTARY DIFFERENTIAL TOPOLOGY, Annals of Math. Studies 54, Princeton U. Press, revised ed. (1966).

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  6. B. L. Reinhart, Foliated manifolds with bundle-like metrics, Annals of Math. 69(1959), 119–132.

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  7. D. Singer and H. Gluck, The existence of nontriangulable cut loci, Bull. Amer. Math. Soc. 82(1976), 599–602.

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  8. _____, Scattering of geodesic fields, II, to appear.

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  9. S. Sternberg, LECTURES ON DIFFERENTIAL GEOMETRY, Prentice-Hall (1964).

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  10. D. J. Struik, LECTURES ON CLASSICAL DIFFERENTIAL GEOMETRY, Addison-Wesley (1950).

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© 1977 Springer-Verlag

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Gluck, H., Singer, D. (1977). Scattering problems in differential geometry. In: Palis, J., do Carmo, M. (eds) Geometry and Topology. Lecture Notes in Mathematics, vol 597. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085356

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  • DOI: https://doi.org/10.1007/BFb0085356

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08345-0

  • Online ISBN: 978-3-540-37301-8

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