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Schedule, Notes/Handouts & Videos

Lie groups and the method of the moving frame / Exterior Differential Systems July 12, 1999 - July 23, 1999

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Jul 12, 1999
Monday
08:00 AM - 05:00 PM
  Basic Systems: The Frobenius and Pfaff-Darboux Theorems
Robert Bryant
08:00 AM - 05:00 PM
  Applications 1: Scalar First order PDE and Lie Groups
Robert Bryant
08:00 AM - 05:00 PM
  Cartan-Kahler Theory: Integral manifolds and elements
Robert Bryant
08:00 AM - 05:00 PM
  Cartan-Kahler Theorem: Statement, ideas in the proof
Robert Bryant
08:00 AM - 05:00 PM
  Applications 2: surface theory, self dual 2-forms in 4D
Robert Bryant
08:00 AM - 05:00 PM
  Prolongation: Discussion of the Cartan-Kuranishi theorem
Robert Bryant
08:00 AM - 05:00 PM
  Applications 3: special geometries and prescribed curvature
Robert Bryant
08:00 AM - 05:00 PM
  G-structures: Examples, pseudo-connections, and torsion
Robert Bryant
08:00 AM - 05:00 PM
  Applications 4: CR geometry, holonomy, and special metrics
Robert Bryant
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