Lee, John M., <br/><br/>
Riemannian Manifolds :  An Introduction to Curvature 

 - New York :  Springer,  1997 
 - xv, 224 p. :  20x27 cm. 
<br/><br/> This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem. 
<br/><br/>Includes bibliographical references (p. [209]-211) and index. 
<br/><br/><label>ISBN: </label>0387983228 (softcover : acidfree paper) 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Riemannian manifolds.
<br/><br/><label>Dewey Class. No.: </label>516.373  / LEE-R