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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Comparison Theorems in Riemannian Geometry

An Imprint of the American Mathematical Society. Join our email list. Ordering on the AMS Bookstore is limited to individuals for personal use only. Comparison Theorems in Riemannian Geometry.

Graduate students and research mathematicians interested in Riemannian manifolds. Author s Geomefry display: Online Price 2 Label: The first five chapters are preparatory in nature.

Comparison theorems in riemannian geometry — NYU Scholars

Comparison Theorems in Riemannian Geometry Share this page. Jeff Cheeger ; David G.

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 riemanniian weak one, the failure can happen only in a restricted way, which can usually be classified up to isometry. To conclude, one can say that this book presents many interesting and recent results of global Riemannian geometry, and that by its well composed theoremx chapters, the authors have managed to make it readable by non-specialists.

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Much of the material, particularly the last four chapters, was essentially state-of-the-art when the book first appeared in Publication Month and Year: 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.

Fomparison, 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. See our librarian page for additional eBook ordering options. Cheeger and Ebin’s book is a truly comparsion classic monograph in Riemannian geometry, with great continuing relevance. 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. Cheegeg quick chapter of Morse theory is followed by one on the injectivity radius.

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Dual Price 1 Label: Print Price 1 Label: Next comes a detailed presentation theprems homogeneous spaces in which the main goal is to find formulas for their curvature. Online Price 1 Label: They begin with a very concise introduction to Riemannian geometry, followed by an exposition of Toponogov’s theorem—the first such treatment in a book in English.

Print Price 2 Label: Chapters 6—9 deal with many of the most relevant contributions to the subject in the years to Online Price 3 Label: Print Price 3 Label: The central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry.