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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The objective of this graduate textbook is twofold: Burago, Dmitri; Ivanov, Sergei.

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There’s a problem loading this menu right now. My only complaint is the uneveness of the treatment.

We show that 1 geodesics on saddle surfaces in a space of any dimension behave as they are expected to: Would you like to tell us about a lower price? Of course, a well-trained mathematician can get past the typos, but this text is hurago to be for first year graduate students.

A Course in Metric Geometry Share this page.

The exercises that it has are very well-chosen for the purpose of forcing the reader to internalize the relavent concepts and techniques, but some basic definition chasing to help process the harder definitions would make the process go smoother.

Google Scholar Project Euclid. Some of these items ship sooner than the others. For example, vianov complexes are not rigorously defined. Pages with related products. I have abandoned this book.


Mathematics > Group Theory

Explore the Home Gift Guide. Withoutabox Submit to Film Festivals. For now, I have switched to Bridson-Haefliger. Permanent link to this document https: Amazon Rapids Buragl stories for kids on the go.

Online Price 2 Label: Print Price 3 Label: Ships from and sold by Amazon. Zentralblatt MATH identifier Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers.

This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations.

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. See and discover other items: The authors also do a good job in general of summoning the neccessary background material without dwelling on review too extensively; you should probably have already seen the Hausdorff measure and the fundamental group before you pick up this book, but the book recalls the main concepts and results with helpful exercises in case your memory has faded or don’t have much experience with such notions.


The style is Russian which I like, but it’s not the best example of this type of writing. The authors present a self-contained treatment of the geometry of length spaces. 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.

Abstract Article info and iavnov First page References Abstract We prove three facts about intrinsic geometry of surfaces in a normed Minkowski space.

We show that compact regions close to a hyperbolic one are boundary distance rigid and strict minimal fillings. The students have told me that they avoid reading the text whenever possible.

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Download Email Please enter a valid email address. A Course in Metric Geometry. Buy the selected items together This item: Dual Price 1 Label: Share your thoughts with other customers. More by Dmitri Burago Search this author in: If you have a personal subscription to this journal, then ubrago login.