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7. Computing normalizing transformations

  • Henk BroerEmail author
  • Igor Hoveijn
  • Gerton Lunter
  • Gert Vegter
II Theory
  • 398 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1806)

Abstract

  • 7.1 Introduction

  • 7.2 Deformations of functions
    • 7.2.1 Finding a universal deformation

    • 7.2.2 The algorithm of Kas and Schlessinger

    • 7.2.3 Solving the infinitesimal stability equation

    • 7.2.4 Application: The hyperbolic umbilic

  • 7.3 Deformations of maps
    • 7.3.1 Adaptation of Kas and Schlessinger’s algorithm

    • 7.3.2 Solving the infinitesimal stability equation

    • 7.3.3 Example of a LR-tangent space calculation

Mathematics Subject Classification (2000):

58C27 58F14 58F36 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  • Henk Broer
    • 1
    Email author
  • Igor Hoveijn
    • 1
  • Gerton Lunter
    • 2
  • Gert Vegter
    • 1
  1. 1.Department of Mathematics and Computing SciencesUniversity of GroningenGroningenThe Netherlands
  2. 2.Department of StatisticsOxford UniversityOxfordUnited Kingdom

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