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6 of 6 people found the following review helpful:
5.0 out of 5 stars all you ever wanted to know about differential geometry, April 21, 2010
But thought the book was out of print. This classic book was published by North Holland in the late seventies, was photocopied by every grad student in geometry, and finally has been reprinted by the American Math Society. The book's goal (achieved) is to get you up to speed and working as quickly as possible. Riemannian geometry is covered from scratch (a la Milnor's Morse Theory (Annals of Mathematic Studies AM-51) but they don't stop there, and prove all of the basic comparison results.
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1 of 2 people found the following review helpful:
5.0 out of 5 stars The basic reference, September 27, 2010
I am of course partial to the book ,I was graduate student at SUNY Stony Brook.
Still, I think this is the basic reference in the subject , a book that I like
to go back to review the most important theorems.
Clear, consise ,well written.
It is quite impissible to work in Riemanian Geometry without "Cheeger Ebin"
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Comparison theorems in riemannian geometry (North-Holland mathematical library ; v. 9)
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