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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Next comes a detailed presentation of homogeneous spaces in which the main goal is to find formulas for their curvature.
Publication Month and Year: To conclude, one can say that this book presents many interesting and recent results of global Riemannian riemannain, and that by its well composed introductory chapters, the authors have managed to make it readable by non-specialists.
Online Price 2 Label: Dual Price 1 Label: Jeff Cheeger ; David G. Cheeger and Ebin’s book is a truly important classic monograph in Riemannian geometry, with great continuing relevance.
Comparison Theorems in Riemannian Geometry
Libraries and resellers, please contact cust-serv ams. Ordering on the AMS Bookstore is limited to individuals for personal use only.
Print Price 2 Label: Join our email list. Dual Price 2 Label: Online Price 1 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 theoreme the structure of complete manifolds of non-positive curvature.
An Imprint of the American Mathematical Society. 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.
Chapters 6—9 deal with many of the most relevant contributions to the subject in the years to Comparison Theorems in Riemannian Geometry Share this page. See our librarian page for additional eBook ordering options. Online Price 3 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.
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. Emphasis is given to the phenomenon of rigidity, namely, the riemwnnian 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.
Print Price 1 Label: Author s Product display: Graduate students and research mathematicians interested in Riemannian manifolds.
The first five chapters are preparatory in nature. 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. Comparison Theorems in Riemannian Geometry. Much of the material, particularly the last four chapters, was essentially state-of-the-art when the book first appeared in A quick chapter of Comparisonn theory is followed by one on the injectivity radius.