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Generic singularities of the exponential map on Riemannian manifolds

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References

  1. Arnol'd, V. I., Méthodes mathématiques de la mécanique classique, M.I.R., 1974.

  2. Arnol'd, V. I., ‘Normal Forms for Functions near Degenerate Critical Points, the Weyl groups of A k , D k , E k and Lagrangian Singularities’; Funk. Anal. Ego Pril. 6 (No. 4); translated in Funct. Anal. Appl. 6 (1972), 254–272.

  3. Bröcker, Th., Differentiable Germs and Catastrophes, Cambridge University Press, 1975.

  4. Gromoll, D., Klingenberg, W. and Meyer, W., ‘Riemannsche Geometrie im Grossen’, Lecture Notes in Math. No. 55, Springer, 1968.

  5. Klingenberg, W. and Takens, F., ‘Generic Properties of Geodesic Flows’, Math. Ann. 197 (1972), 323–334.

    Google Scholar 

  6. Milnor, J., Morse Theory, Princeton University Press, 1969.

  7. Spivak, M., Differential Geometry, Vol. IV, Publish or Perish, 1975.

  8. Wall, C. T. C., ‘Geometric Properties of Generic Differentiable Manifolds’, Lecture Notes in Math. No. 597, Springer, 1977, pp. 707–774.

  9. Weinstein, A., ‘Lectures on Symplectic Manifolds’, C.B.M.S. Conf. Series, No. 29, Amer. Math. Soc., Providence, R.I., 1977.

    Google Scholar 

  10. Weinstein, A., ‘The Generic Conjugate Locus’, Proc. Symp. Pure Math. XV, Amer. Math. Soc., Providence, R.I., 1970.

    Google Scholar 

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Klok, F. Generic singularities of the exponential map on Riemannian manifolds. Geom Dedicata 14, 317–342 (1983). https://doi.org/10.1007/BF00181572

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  • DOI: https://doi.org/10.1007/BF00181572

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