## MSRI Workshop on Lie groups and the method of moving frames

### July 12-23, 1999

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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 on MSRI's web page here;
click on the link and then scroll down to "Lie groups and the
method
of the moving frame." You will need RealPlayer to watch the
videos.