Homework
HW 1 (due 3/14)
Exercises from https://people.math.ethz.ch/~acannas/Papers/lsg.pdf:
p. 8:
1.
4.
9.
p. 20:
1.
p. 36:
the exercise on Cartan's magic formula (in the case where the vector field does not depend on time)
p. 50:
1
2
3
p. 73
1
3
p. 112
(b), (c)
HW 2 (due 4/18)
Chen (https://people.math.umass.edu/~wchen/curve_part2.pdf):
Exercise 1.4
Derive the energy identity that we stated in class (see also p. 19 of Chen)
Wendl (https://arxiv.org/pdf/1011.1690.pdf):
Exercises:
1.1
(1.10)
1.13
1.28
1.30
1.33
2.1
2.5
2.9
2.61
2.63
2.113
2.119
5.8
5.14
3.1(a)
HW 3 (due 5/17)
Exercises:
1
2
5
8
10
11
18
19
21
23
24
25
29
30
41
49
50
51
From https://arxiv.org/pdf/1303.5789.pdf
Exercise:
1.4
3.3