MSRI.html

MSRI Workshop on Lie groups and the method of moving frames

July 12-23, 1999

Lecture notes

Lecture 1: Differential forms (lecture1.pdf)

Lecture 2: Euclidean spaces, affine spaces, and homogenous spaces in general (lecture2.pdf)

Lecture 3: Curves in Euclidean and affine spaces (lecture3.pdf)

Lecture 4: Surfaces in Euclidean and affine spaces (lecture4.pdf)

Lecture 5: Surfaces in projective space (lecture5.pdf)

Lecture 6: Pseudospherical surfaces and Backlund's Theorem (lecture6.pdf)

Lecture 7: Minimality and variational calculations (lecture7.pdf)

Lecture 8: Weierstrass formulae (lecture8.pdf)

Lecture 9: Moving frames in the nonhomogenous case: frame bundles (lecture9.pdf)

Videotapes of the lectures are at http://www.msri.org; click on "Video," then on "Spring 1999," then on "Lie groups and the method of the moving frame / Exterior Differential Systems, July 12-23, 1999. " You will need RealPlayer to watch the videos.