Skip to main content
SpringerLink
Log in

Preassigning the shape for bodies of constant width

  • Published:
Monatshefte für Mathematik Aims and scope Submit manuscript

Abstract

The paper deals with the problem of preassigning the shape for bodies of constant width. In particular, the free choice of boundary points for sets of constant width is discussed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bonnesen, T., Fenchel, W.: Theorie der konvexen Körper. Berlin: Springer. 1934.

    Google Scholar 

  2. Borsuk, K.: Drei Sätze über dien-dimensionale euklidische Sphäre. Fund. Math.20, 177–190 (1933).

    Google Scholar 

  3. Falconer, K. J.: Singularities of sets of constant width. Geom. Dedicata11, 187–193 (1981).

    Google Scholar 

  4. Larman, D. G., Rogers, C. A.: Durham symposium on the relations between infinite-dimensional and finite-dimensional convexity. Bull. London Math. Soc.8, 1–33 (1976).

    Google Scholar 

  5. Schulte, E.: Konstruktion regulärer Hüllen konstanter Breite. Mh. Math.92, 313–322 (1981).

    Google Scholar 

  6. Scott, P. R.: Sets of constant width and inequalities. Quart. J. Math. Oxford (2)32, 345–348 (1981).

    Google Scholar 

  7. Vrećica, S.: A note on sets of constant width. Publ. Inst. Math. Beograd29 (43), 289–291 (1981).

    Google Scholar 

  8. Vrećica, S.: Sets of constant width. Preprint.

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut, Universität Dortmund, D-4600, Dortmund, Federal Republic of Germany

    Egon Schulte

  2. Institute of Mathematics, University of Belgrade, 11000, Belgrade, Yugoslavia

    Siniša Vrećica

Authors
  1. Egon Schulte
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Siniša Vrećica
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

With 1 Figure

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schulte, E., Vrećica, S. Preassigning the shape for bodies of constant width. Monatshefte für Mathematik 96, 157–164 (1983). https://doi.org/10.1007/BF01530691

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01530691

Keywords

Search

Navigation