MATH 623, Differential Geometry II,
  Fall 16

Syllabus

Some supporting material

Homework #1, due Wednesday, September 21, From Do Carmo, pages 57-59 problems 3, 6, 7, 8, 9.

Homework #2, due Wednesday, October 12, From Do Carmo (in exercises involving calculation of curvature please take into account that the sign of the curvature tensor in this book is different from what we use in class)  p. 81-83 problems 5 a,b,c,e, 7, 8 a (note that in problem 8 a the divergence coincide with the divergence in a sense discussed in the previous semester with respect to the Riemanian volume form, see problem 11 p. 84),  p. 103-106 problems 1, 6.

Homework #3, due Wednesday November 9, From Do Carmo, p 119-122,  three of the following four problems  2,3,5,6 (you can do all four for bonus); pages 251-252 one of the problems 3 or 5 (you can do both for bonus), pages 207-209 one of problems 3 or 6 (you can do both for bonus).

Topics for presentation can be found here Plese read carefully the instructions.