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.