Morse Functions

  • Michèle Audin
  • Mihai Damian
Part of the Universitext book series (UTX)


We define Morse functions and prove the basic results (existence and genericity, Morse lemma …)


Quadratic Form Bilinear Form Compact Manifold Height Function Morse Function 
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Supplementary material


  1. [47]
    Laudenbach, F.: Topologie différentielle (1992). Cours à l’École Polytechnique Google Scholar
  2. [54]
    Milnor, J.: Morse Theory. Princeton University Press, Princeton (1963) Google Scholar

Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  • Michèle Audin
    • 1
  • Mihai Damian
    • 1
  1. 1.IRMAUniversité Louis PasteurStrasbourg CedexFrance

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