Skip to main content
Log in

Singularities of families of evolvents in the neighborhood of an inflection point of the curve, and the group H3 generated by reflections

  • Published:
Functional Analysis and Its Applications Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. V. I. Arnol'd, "Critical points of functions on manifolds with boundary, the simple Lie groups Bk, Ck, F4, and singularities of evolutes," Usp. Mat. Nauk,38, No. 5, 91–105 (1978).

    Google Scholar 

  2. V. I. Arnold (Arnol'd), "Wave front evolution and equivariant Morse lemma," Commun. Pure Appl. Math.,29, No. 6, 557–582 (1976).

    Google Scholar 

  3. V. I. Arnold (Arnol'd), Mathematical Methods of Classical Mechanics, Graduate Texts in Math., No. 60, Springer-Verlag, New York (1978).

    Google Scholar 

  4. V. I. Arnol'd, A. N. Varchenko, and S. M. Gusein-Zade, Singularities of Differentiable Mappings [in Russian], Vol. 1, Nauka, Moscow (1982).

    Google Scholar 

  5. O. V. Lyashko, "Classification of critical points of functions on manifolds with singular boundary," Funkts. Anal.,17, No. 3, 28–36 (1983).

    Google Scholar 

  6. O. A. Platonova, "Singularities in the problem of the quickest bypassing of an obstacle," Funkts. Anal.,15, No. 2, 86–87 (1981).

    Google Scholar 

  7. J. Sekiguchi and T. Yano, "A note on the Coxeter group of type H3," Sci. Rep. Saitama Univ., Ser. A,9, No. 1, 33–44 (1979).

    Google Scholar 

Download references

Authors

Additional information

Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozhenya, Vol. 17, No. 4, pp. 70–72, October–January, 1983.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shcherbak, O.P. Singularities of families of evolvents in the neighborhood of an inflection point of the curve, and the group H3 generated by reflections. Funct Anal Its Appl 17, 301–303 (1983). https://doi.org/10.1007/BF01076721

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01076721

Keywords

Navigation