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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Chapters 6—9 deal with comlarison of the most relevant contributions to the subject in the years to 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.
Print Price 3 Label: 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.
Online Price 1 Label: Ordering on the AMS Bookstore is limited to individuals for personal use only. Print Price 2 Label: The central theme of this book is the interaction between the curvature of a complete Riemannian geomstry and its topology and global geometry. See our librarian page for additional eBook ordering options.
Comparison Theorems in Riemannian Geometry
Online Price 3 Label: Graduate students and research mathematicians interested in Riemannian manifolds. Next comes a detailed presentation of homogeneous spaces in which the main goal is to find formulas for their curvature. Much of the material, particularly the last four chapters, was essentially state-of-the-art when the book first appeared hteorems A quick chapter of Morse theory is followed by one on the injectivity radius.
Libraries and resellers, please contact cust-serv ams. Author s Product display: Comparison Theorems in Riemannian Geometry. 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 riemannisn managed to make it readable by non-specialists.
Jeff Cheeger ; David G. 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.
The first five chapters are preparatory in nature.
Since then, the subject has exploded, but compxrison material covered in the book still represents an essential prerequisite for anyone who wants to work in the field. An Imprint of the American Mathematical Society.
Comparison theorems in riemannian geometry — NYU Scholars
Dual Price 1 Label: Dual Price 2 Label: Cheeger and Ebin’s book is a truly cbeeger classic monograph in Riemannian geometry, with great continuing relevance. Publication Month and Year: Join our email list.
Online Price 2 Label: They begin with a very concise introduction to Riemannian geometry, followed by an exposition of Toponogov’s theorem—the first cheeber treatment in a book in English. Print Price 1 Label: