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Lagrangian and special Lagrangian immersions in Cn

  • Michèle Audin
  • Ana Cannas da Silva
  • Eugene Lerman
Part of the Advanced Courses in Mathematics CRM Barcelona book series (ACMBIRK)

Abstract

In this chapter, I define Lagrangian and special Lagrangian immersions in Cn. To begin with, I explain that Cn is the standardrealvector space endowed with a non degenerate alternated bilinear form (§I.1) and use this “symplectic structure” to define Lagrangian subspaces and immersions (§§I.2, I.3 and I.4). Later, I use the complex structure as well, to definespecialLagrangian immersions (§I.5)

Keywords

Wave Front Poisson Bracket Symplectic Form Symplectic Group Lagrangian Submanifolds 
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 Basel AG 2003

Authors and Affiliations

  • Michèle Audin
    • 1
  • Ana Cannas da Silva
    • 2
  • Eugene Lerman
    • 3
  1. 1.Institut de Recherche Mathématique AvancéeUniversité Louis Pasteur et CNRSStrasbourg CedexFrance
  2. 2.Departamento de MatemáticaInstituto Superior TécnicoLisboaPortugal
  3. 3.Department of MathematicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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