We prove three facts about intrinsic geometry of surfaces in a normed (Minkowski ) space. When put together, these facts demonstrate a rather intriguing picture. Submission history. From: Sergei Ivanov [view email] [v1] Thu, 5 May 54 UTC (10 KB) [v2] Mon, 6 Jun UTC (11 KB). Submission history. From: Sergei Ivanov [view email] [v1] Mon, 8 Oct 52 UTC (15 KB) [v2] Sun, 23 Jun UTC (16 KB).
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They begin with the definition of length spaces, birago by the final chapter cover almost all of the material in the well known survey paper by Burago, Gromov, and Perel’man. MR Digital Object Identifier: The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. Burago, Dmitri; Ivanov, Sergei.
 Uniform approximation of metrics by graphs
Buy the selected items together This item: Zentralblatt MATH identifier Dual Price 1 Label: Geodesics [See also 58E10] 53C Article information Source Duke Math. Add all three to Cart Add all three to List.
My students and I have found other typos as well. Dates First available in Project Euclid: Online Price 2 Label: Some of the exercises are excellent. Amazon Drive Cloud storage from Amazon. Of course, a well-trained mathematician can get past the typos, but this text is supposed to be for first year graduate students. A Course in Metric Geometry. A Course in Metric Geometry Share this page. The students have told me that they avoid reading the text whenever possible.
Most of the proofs are very well written, and the authors do a good job of demonstrating the appropriate tools and outlining the best approaches in the proofs and the examples. Dual Price 2 Label: Actually it’s more than just a list of typos: Print Price 2 Label: Area minimizers and boundary rigidity of almost hyperbolic metrics.
Even the review of Riemannian geometry, which might be too long for some, is appropriate to firmly establish notation and because hyperbolic geometry and Riemannian curvature are so central to the topic of the text. For example, polyhedral complexes are not rigorously defined.
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Overall, the book provides an interesting and and accessible introduction to an important class of spaces length spaces arise as limits of sequences of Riemannian manifolds. Would you like to tell us about a lower price?
When put together, these facts demonstrate a rather intriguing picture. We show that 1 geodesics on saddle surfaces in a space of any dimension behave as they are expected to: Contributing to this are the many elementary examples with which the authors supplement the text … Anyone who is intensely concerned with Riemannian geometry will not pass up this book. There was a problem filtering reviews right now. I am an undergraduate math student, and I encountered this book as the primary background text for a summer project in geometry.
Read more about accessing full-text. If you have a personal subscription to this journal, then please login. Abstract Article info and citation First page References Abstract This paper is a continuation of our paper about boundary rigidity and filling minimality of metrics close to flat ones. Amazon Second Chance Pass it on, trade it in, give it a second life. We prove three facts about intrinsic geometry of surfaces in a normed Minkowski space. Graduate Studies in Mathematics Book 33 Hardcover: This list of errors is not complete.
The authors present a self-contained treatment of the geometry of length spaces. Download Email Please enter a valid email address.
Finsler spaces and generalizations areal metrics [See also 58B20] Secondary: While most of the proofs are easy to follow especially the more technical proofs where lack of clarity would be a serious problemsome of the more visually-oriented proofs are very poorly written and there are precious few diagrams to compensate – see, for example, the example involving the curvature of cones over circles of various lengths.
East Dane Designer Men’s Fashion. Libraries and resellers, please contact cust-serv ams. For now, I have switched to Bridson-Haefliger. The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. If you are already logged in, then you may need to update your profile to register your subscription.
It does a number of things very well, but it does possess some comparitively minor flaws that are nonetheless worth noting. Customers who bought this item also bought. Amazon Advertising Find, attract, and engage customers. Burago, Dmitri; Ivanov, Sergei. The reader is cautioned, however, that numerous typographic errors are to be found some in fundamental definitions. More by Dmitri Burago Search this author in: On intrinsic geometry of surfaces in normed spaces.