COMPARISON THEOREMS IN RIEMANNIAN GEOMETRY CHEEGER PDF
Buy Comparison Theorems in Riemannian Geometry (Ams Chelsea Publishing) on ✓ FREE by Jeff Cheeger and David G. Ebin (Author). out. Cheeger, J., Ebin, D. G., & American mathematical society (). Comparison theorems in riemannian geometry. Providence: AMS Chelsea Publishing. Cheeger, J., & Ebin, D. G. (). Comparison theorems in riemannian geometry. (North-Holland mathematical library; Vol. v. 9). Amsterdam: North-Holland Pub.
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The central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry.
Much of the material, particularly the last four chapters, was essentially state-of-the-art when the book first appeared in Since then, the subject has exploded, but the material covered in the book still represents an essential prerequisite for anyone who wants to work in the field. Libraries and resellers, please contact cust-serv ams.
An Imprint of the American Mathematical Society.
Jeff Cheeger ; David G. Online Price 3 Label: Print Price 1 Label: Dual Price 1 Label: Next comes a detailed presentation of homogeneous spaces in which the main goal is to find formulas for their curvature.
Comparison Theorems in Riemannian Geometry
Author s Product display: Comparison Theorems in Riemannian Geometry Share this page. Emphasis is given to the reimannian of rigidity, namely, the fact that although the conclusions which hold under the assumption of some strict inequality on curvature can fail when the strict inequality on curvature can fail when the strict inequality is relaxed to a weak one, chedger failure can happen only in a restricted way, which can usually be classified up to isometry.
Online Price 1 Label: The first five chapters are preparatory in nature. Cheeger and Ebin’s book is a truly important classic monograph in Riemannian geometry, with great continuing relevance. Ordering on the AMS Bookstore is limited to individuals for personal use only.
Comparison Theorems in Riemannian Geometry – Jeff Cheeger, David G. Ebin – Google Books
Graduate students and research mathematicians interested in Riemannian manifolds. Publication Month and Year: Print Price 2 Label: Online Price 2 Label: A quick chapter of Morse theory is followed by one on the injectivity radius.
Join our email list. They begin with a very concise introduction to Riemannian geometry, followed by an exposition of Toponogov’s theorem—the first such treatment in a chfeger in English. Comparison Theorems in Riemannian Geometry.
Comparison theorems in riemannian geometry
Bryant, Director of the Mathematical Sciences Research Institute Cheeger and Ebin’s book is a truly important classic monograph in Riemannian geometry, with great continuing relevance. Dual Price 2 Label: See our librarian page for additional eBook ordering options.
To conclude, one can say that this book presents many interesting and recent results of global Riemannian geometry, and that by its well composed introductory chapters, the authors have managed to make it readable by non-specialists.
Chapters 6—9 comparion with many of the most relevant contributions to the subject in the years to These include the pinching or sphere theorem, Berger’s theorem for geomstry spaces, the differentiable sphere theorem, the structure of complete manifolds of non-negative curvature, and finally, results about the structure of complete manifolds of non-positive curvature.
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