Annali di Matematica Pura ed Applicata

, Volume 127, Issue 1, pp 173–185 | Cite as

Natural metrics on faceless cones

  • Juan Jorge Schäffer
Article
  • 24 Downloads

Summary

A genuine faceless cone is a non-empty linear cone that is open in some linear topology and includes no line. This paper describes all assignments of metrics to genuine faceless cones such that every linear mapping between cones is a contraction.

Keywords

Linear Mapping Natural Metrics Linear Cone Linear Topology 

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References

  1. [1]
    W. Noll,A new mathematical theory of simple materials, Arch. Rational Mech. Anal.,48 (1972), pp. 1–50.Google Scholar
  2. [2]
    W. Noll -J. J. Schäffer,Orders, gauge, and distance in faceless linear cones; with examples relevant to continuum mechanics and relativity, Arch. Rational Mech. Anal.,66 (1977), pp. 345–377; corrigenda,ibid.,68 (1978), pp. 383–384.Google Scholar
  3. [3]
    J. J. Schäffer,Orders, gauge, and distance in faceless linear cones-. II: Gauge-preserving bijections are cone-isomorphisms, Arch. Rational Mech. Anal.,67 (1978), pp. 305–313.Google Scholar

Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1980

Authors and Affiliations

  • Juan Jorge Schäffer
    • 1
  1. 1.Pittsburgh

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