Differentiable Manifolds , Autumn 2001

Book : T. Frankel : The Geometry of Physics

Treated during the course:

Chapter 1 : all
Chapter 2 : all, except 2.3c ,2.3d, 2.7b.
Chapter 3: Only 3.1, 3.2 and 3.3.
Chapter 4: Only 4.1, 4.2 until (4.25), 4.3a
Chapter 5: Only 5.1, 5.2 and 5.4 (treated in some other way)
Handout : De Rham Cohomology and section 13.4
Section 8.3 : Brouwer degree + handout

Exercises (treated during the sessions):

1.1.1, 1.1.3, 1.2.3, 1.3.1, 1.3.3
+ handout october 10
+ show Grassmann varriety is a manifold.
2.1.1, 2.3.1, 2.4.1, 2.4.2, 2.4.3,
2.5.1, 2.5.2, 2.5.3,
2.6.1, 2.7.1, 2.7.2, 2.8.1,
2.10.1, 2.10.4,
3.1.1 , 3.3.1 ,
4.1.1 , 4.2.1, 4.2.2, 4.2.3,
5.1.1 + handout november 28
handout december 12

Examination : December 20 ; 9:.00 - 12:00
Room K 11.
For participation : write your name on the list
or send an email to
siersma@math.uu.nl