Introduction to Modern Riemannian Geometry

Author: None
Publisher:
Publish Date: 2003-01-01
Features: My goals in this book on Riemannian geometry are essentially the same as those which guided me in my Eigenvalues in Riemannian Geometry [69], to introduce the subject, to coherently present a number of its basic techniques and results with an eye to future work, and to present some of the results that are attractive in their own right. This book differs from Eigenvalues in that it starts at a more basic level, and therefore, it must present a broad view of the ideas from which all the various directions emerge. At the same time, other treatments of Riemannian geometry are available at varying levels and interests, so I need not introduce everything. I have, therefore, attempted a viable introduction to Riemannian geometry for a very broad group of students, with emphases and developments in areas not covered by other books. This book is in English.