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Contact Equivalence

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Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 357)

Abstract

We introduce the contact group K and the contact tangent space, and explore its use as a technical tool in calculation. We show how to construct all stable germs as contact-versal unfoldings of rank zero germs. We prove a geometrical criterion for finite A-codimension, due to Gaffney and Mather, in terms of isolated instability. The chapter ends with a section on Thom–Boardman singularities.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Mathematics InstituteUniversity of WarwickCoventryUK
  2. 2.Departament de MatemàtiquesUniversitat de ValènciaBurjassotSpain

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