kevdevnull

Thanks for the reference to p. It looks like a good addition to the Thorpe I've done and the do Carmo and Lee that I am currently working through. I appreciate it. This is reasonable?

http://books.google.com/books/about/Curvature_in_Mathematics...

which one?

;) probably just the author :)

take a look at manifold learning, this should point you in the right direction:

http://web.mit.edu/6.454/www/www_fall_2003/ihler/slides.pdf

Lee's books are great as well, very different perspective, audience, motivation and development, but great. I am working through his first on topological manifolds now.

Also, at about the same level of difficulty but a different perspective:

http://f3.tiera.ru/2/M_Mathematics/MD_Geometry%20and%20topol...

http://archive.wired.com/wired/archive/3.06/xanadu.html No longer vaporware!!! I've been waiting for this forever!