Skip to main content
Log in

Remarks on a Translative Formula for Sets of Positive Reach

  • Published:
Geometriae Dedicata Aims and scope Submit manuscript

Abstract

An example of a pair of sets of positive reach is presented, violating a condition assuring the intersection of these sets to have positive reach for almost all translations of one of these sets. The same condition ensures the validity of a translative formula proved recently in Geom. Dedicata 57 (1995), 259--283.

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.

Similar content being viewed by others

References

  1. Federer, H.: Curvature measures, Trans. Amer. Math. Soc. 93 (1959), 418–491.

    Google Scholar 

  2. Federer, H.: Geometric Measure Theory, Springer-Verlag, Berlin, 1969.

    Google Scholar 

  3. Rataj, J. and Zähle, M.: Mixed curvature measures for sets of positive reach and a translative integral formula, Geom. Dedicata 57(1995), 259–283.

    Google Scholar 

  4. Schneider, R. and Weil, W.: Translative and kinematic integral formulae for curvature measures, Math. Nachr. 129 (1986), 67–80.

    Google Scholar 

  5. Zähle, M.: Integral and current representation of Federer's curvature measures, Arch. Math. 46 (1986), 557–567.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rataj, J. Remarks on a Translative Formula for Sets of Positive Reach. Geometriae Dedicata 65, 59–62 (1997). https://doi.org/10.1023/A:1004912401199

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1004912401199

Navigation