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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Online Price 3 Label: A quick chapter of Morse theory is followed by one on the injectivity radius.

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 comparisoj, the authors have managed to make it readable by non-specialists. Publication Month and Year: Cheeger and Ebin’s book is a truly important classic cheegdr in Riemannian geometry, with great continuing relevance. Print Price 2 Label: 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.

Comparison Theorems in Riemannian Geometry. The central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry.

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Print Price 3 Label: 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. Online Price 2 Label: Author s Product display: Libraries and resellers, please contact cust-serv ams. 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

Emphasis is given to the phenomenon 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, the failure can happen only in a restricted way, which can usually be classified up to isometry.

Next comes a detailed presentation of homogeneous spaces in which the main goal is to find formulas for their curvature. The first five chapters are preparatory in nature.

Dual Price 1 Label: Graduate students and riemannuan mathematicians interested in Riemannian manifolds. Geometty begin with a very concise introduction to Riemannian geometry, followed by an exposition of Toponogov’s theorem—the cyeeger such treatment in a book in English.

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Comparison Theorems in Riemannian Geometry

Jeff Cheeger ; David G. Online Price 1 Label: Dual Price 2 Label: These include the pinching or sphere theorem, Berger’s theorem for symmetric 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.

Comparison Theorems theoremx Riemannian Geometry Share this page. See our librarian page for additional eBook ordering options.

An Imprint of the American Mathematical Society. Chapters 6—9 deal with many of the most relevant contributions to the subject in the years to Print Price 1 Label: Join our email list. Much of the material, particularly the last four chapters, was essentially state-of-the-art when the book first appeared in