Assistant: Joseph Malkoun
Main textbook for the course: Riemannian Geometry, by S. Gallot, D. Hulin and J. Lafontaine.
Homework 1 is now available:
Homework 1
Solution to Homework 1
Homework 2 is now available (due Friday November 2, 2012):
Homework 2
Solution to Homework 2
Homework 3 is now available (due Friday November 9, 2012):
Homework 3
Solution to Homework 3
Homework 4 is now available (due Friday November 16, 2012):
Homework 4
Solution to Homework 4
Homework 5 is now available (due Friday November 23, 2012):
Homework 5
Solution to Homework 5
Homework 6 is now available (due Friday November 30, 2012):
Homework 6
Solution to Homework 6
Homework 7 is now available (due Friday December 7, 2012):
Homework 7
Solution to Homework 7
Homework 8 is now available (due Friday December 21, 2012):
Homework 8
Solution to Homework 8
Homework 9 is now available (due Friday January 11, 2013):
Homework 9
Solution to Homework 9
Homework 10 is now available (due Friday January 18, 2013):
Homework 10
Solution to Homework 10
Homework 11 is now available (due Friday January 25, 2013):
Homework 11
Solution to Homework 11
Homework 12 is now available (but you don't have to hand it in!):
Homework 12
Stereographic projection of the n-sphere minus the North pole N onto the equatorial plane. It can be used to define the standard smooth structure on the n-sphere with just two patches.
You can also find a very short proof that the hyperbolic plane has constant negative curvature and is geodesically complete here: a few simple facts about the hyperbolic plane.
Who was Bernhard Riemann?Wikipedia article