Hi people,


I'm interested in results, such as the Gauß-Bonnet theorem, Fàry-Milnor theorem or classification theorems for manifolds, which give topological properties from geometric considerations. Can anyone recommend some good texts? In particular I'd like to see a nice proof of Fàry-Milnor and of the theorem of turning tangents (total curvature of an imbedded plane curve is $2\pi$).


thanks



Topological results from geometry
About the Fary–Milnor theorem. Milnor's original proof is already very nice (see [here](http://www.jstor.org/stable/1969467)). I also very much like [this proof](http://www.jstor.org/stable/119165) by Alexander & Bishop (see also a version of this proof in [my book](http://www.math.ucla.edu/~pak/book.htm)).


