PDF Ebook Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing), by Jeff Cheeger and David G. Ebin
In getting this Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin, you may not always go by strolling or using your electric motors to the book shops. Obtain the queuing, under the rainfall or very hot light, as well as still look for the unknown publication to be because publication establishment. By seeing this web page, you can only hunt for the Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin and you can locate it. So now, this moment is for you to choose the download web link and also purchase Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin as your own soft documents publication. You can read this book Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin in soft documents only as well as wait as your own. So, you do not need to hurriedly put guide Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin into your bag everywhere.
Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing), by Jeff Cheeger and David G. Ebin
PDF Ebook Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing), by Jeff Cheeger and David G. Ebin
Book Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin is among the valuable well worth that will make you always rich. It will certainly not suggest as abundant as the cash provide you. When some people have absence to face the life, individuals with many publications often will certainly be wiser in doing the life. Why must be e-book Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin It is really not meant that publication Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin will give you power to reach every little thing. Guide is to review and also exactly what we indicated is the book that is reviewed. You can additionally see just how guide qualifies Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin as well as varieties of book collections are giving right here.
When visiting take the encounter or ideas kinds others, book Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin can be a great source. It's true. You could read this Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin as the resource that can be downloaded right here. The way to download is also very easy. You can check out the web link web page that we offer and afterwards acquire guide making a deal. Download Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin and also you could put aside in your personal tool.
Downloading the book Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin in this website lists could provide you a lot more benefits. It will certainly reveal you the best book collections as well as completed collections. So many books can be located in this web site. So, this is not only this Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin Nevertheless, this book is referred to check out since it is an inspiring publication to make you much more chance to get experiences and also thoughts. This is easy, check out the soft data of guide Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin and you get it.
Your perception of this book Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin will certainly lead you to get just what you precisely need. As one of the impressive books, this publication will certainly offer the visibility of this leaded Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin to accumulate. Also it is juts soft documents; it can be your collective file in gadget as well as other tool. The crucial is that usage this soft documents book Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin to review as well as take the advantages. It is what we mean as book Comparison Theorems In Riemannian Geometry (AMS Chelsea Publishing), By Jeff Cheeger And David G. Ebin will certainly boost your ideas and also mind. After that, reading publication will certainly also enhance your life quality better by taking great activity in well balanced.
The central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry. The first five chapters are preparatory in nature. 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. Next comes a detailed presentation of homogeneous spaces in which the main goal is to find formulas for their curvature. A quick chapter of Morse theory is followed by one on the injectivity radius. Chapters 6-9 deal with many of the most relevant contributions to the subject in the years 1959 to 1974. 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. 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. Much of the material, particularly the last four chapters, was essentially state-of-the-art when the book first appeared in 1975. 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.
- Sales Rank: #1371298 in Books
- Brand: Brand: American Mathematical Society
- Published on: 2008-08-04
- Original language: English
- Dimensions: 10.25" h x 7.25" w x .50" l, 1.07 pounds
- Binding: Hardcover
- 161 pages
- Used Book in Good Condition
Most helpful customer reviews
3 of 3 people found the following review helpful.
Geometry implies topology. Discuss.
By Alan U. Kennington
This book summarizes the 1975 state of the art regarding global topological consequences of bounds on sectional curvature. The inside back cover summarizes the book very well indeed. The Amazon "Book description" is copied from there. Just read that. It's an honest summary.
The book "Comparison Theorems in Riemannian Geometry", by Cheeger and Ebin, is for researchers at the postgraduate, postdoctoral and professional levels. In view of the 1975 vintage, it has great value as a relatively easy introduction to the research project "geometry implies topology" for Riemannian spaces, but also to better understand the current state of the art in the context of its historical development. More recent summaries, such as the 1994 "Lectures on Differential Geometry" by Schoen and Yau, can be quite overwhelming. It's better to read up on earlier research results first to see the context in which later researchers worked.
The Cheeger/Ebin book is widely cited in later research. So it's an essential reference if you're serious about researching the flavour of differential geometry which seeks to put constraints on topology in terms of given bounds on curvature. The design of the book is well thought out and implemented. There are not many modern books on DG at this level which make so much effort to be comprehensible to the beginner. It even has lots of nice diagrams!
6 of 7 people found the following review helpful.
all you ever wanted to know about differential geometry
By Narada
But thought the book was out of print. This classic book was published by North Holland in the late seventies, was photocopied by every grad student in geometry, and finally has been reprinted by the American Math Society. The book's goal (achieved) is to get you up to speed and working as quickly as possible. Riemannian geometry is covered from scratch (a la Milnor's Morse Theory (Annals of Mathematic Studies AM-51) but they don't stop there, and prove all of the basic comparison results.
2 of 3 people found the following review helpful.
Many errors that are not in the original edition
By eawxjbyacl
This review only applies to the AMS Chelsea edition. I'm in graduate school and working through this with a few other students who are using the original edition that they got from the library. There are NUMEROUS errors in this edition that are not in the original. There were three on a single page in a section I was reading today. If you can avoid buying this edition, do it.
Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing), by Jeff Cheeger and David G. Ebin PDF
Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing), by Jeff Cheeger and David G. Ebin EPub
Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing), by Jeff Cheeger and David G. Ebin Doc
Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing), by Jeff Cheeger and David G. Ebin iBooks
Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing), by Jeff Cheeger and David G. Ebin rtf
Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing), by Jeff Cheeger and David G. Ebin Mobipocket
Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing), by Jeff Cheeger and David G. Ebin Kindle
Tidak ada komentar:
Posting Komentar