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Home » Lie groups and the method of the moving frame / Exterior Differential Systems

Summer Graduate School

Lie groups and the method of the moving frame / Exterior Differential Systems July 12, 1999 - July 23, 1999
Parent Program: --
Organizers Jeanne N. Clelland and Robert Bryant,
Description

For more information, please see this programs original web page at http://www.msri.org/activities/events/9899/sgp99/bryant.html   



 
o Lie groups and the method of the moving frame
   July 12, 1999 to July 23, 1999

 

Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Schedule, Notes/Handouts & Videos
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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