Symplectic rigidity: Lagrangian submanifolds

  • Michèle Audin
  • François Lalonde
  • Leonid Polterovich
Part of the Progress in Mathematics book series (PM, volume 117)


This chapter is supposed to be a summary of what is known today about Lagrangian embeddings. We emphasise the difference between flexibility results, such as the h-principle of Gromov applied here to Lagrangian immersions (and also to the construction of examples of Lagrangian embeddings) and rigidity theorems, based on existence theorems for pseudo-holomorphic curves.


Symplectic Manifold Double Point Cotangent Bundle Lagrangian Submanifold Klein Bottle 
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© Springer Basel AG 1994

Authors and Affiliations

  • Michèle Audin
  • François Lalonde
  • Leonid Polterovich

There are no affiliations available

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