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Classification of critical points of functions on a manifold with singular boundary

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Literature Cited

  1. V. I. Arnol'd, "Normal forms of functions near degenerate critical points, the Weyl groups Ak, Dk, Ek, and Lagrangian singularities," Funkts. Anal.,6, No. 4, 3–25 (1972).

    Google Scholar 

  2. V. I. Arnol'd, "Normal forms of functions in a neighborhood of degenerate critical points," Usp. Mat. Nauk,29, 11–49 (1974).

    Google Scholar 

  3. V. I. Arnol'd, "Critical points of functions on a manifold with boundary, simple Lie groups Bk, Ck, F4, and singularities of evolutes," Usp. Mat. Nauk,33, No. 5, 91–107 (1978).

    Google Scholar 

  4. A. M. Gabriélov, "Bifurcations, Dynkin diagrams and modality of isolated singularities," Funkts. Anal.,8, No. 2, 7–12 (1974).

    Google Scholar 

  5. R. C. Gunning and H. Rossi, Lectures on Complex Analytic Varieties, Princeton Univ. Press (1974).

  6. E. Loojenga, "The complement of the bifurcation variety of a simple singularity," Invent. Math.,23, No. 2, 105–116 (1974).

    Google Scholar 

  7. O. V. Lyashko, "Geometry of bifurcation diagrams," Usp. Mat. Nauk,34, No. 3, 205–206 (1979).

    Google Scholar 

  8. B. Malgrange, Ideals of Differentiable Functions, Oxford Univ. Press (1966).

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N. E. Zhukovskii Aerial Warfare Academy. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 17, No. 3, pp. 28–36, July–September, 1983.

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Lyashko, O.V. Classification of critical points of functions on a manifold with singular boundary. Funct Anal Its Appl 17, 187–193 (1983). https://doi.org/10.1007/BF01078100

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  • DOI: https://doi.org/10.1007/BF01078100

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