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Nondegenerate Critical Manifolds

  • Jean Mawhin
  • Michel Willem
Part of the Applied Mathematical Sciences book series (AMS, volume 74)

Abstract

After recalling some preliminary notions from differential geometry, this chapter presents the local and global aspects of the theory of nondegenerate critical manifolds. These manifolds are a natural extension of the notion of non-degenerate critical point.

Keywords

Open Neighborhood Implicit Function Theorem Critical Group Fredholm Operator Morse Index 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • Jean Mawhin
    • 1
  • Michel Willem
    • 1
  1. 1.Institut de Mathematique Pure et AppliqueeLouvain-la-NeuveBelgium

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