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Material Detail

Comparison Geometry

Comparison Geometry

This is a free, online textbook that is comprised of articles from a variety of authors.  "Comparison Geometry asks: What can we say about a Riemannian manifold if we know a (lower or upper) bound for its curvature, and perhaps something about its topology? Powerful results that allow the exploration of this question were first obtained in the 1950s by Rauch, Alexandrov, Toponogov, and Bishop, with some ideas going back to Hopf, Morse,...

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More about this material

Material Type:
Open (Access) Textbook
Date Added to MERLOT:
April 29, 2010
Date Modified in MERLOT:
January 3, 2014
Authors:
Submitter:
Cathy Swift
Asian American, Native American, Pacific Islander Serving Institution Hispanic Serving Institution
Primary Audience:
College Lower Division, College Upper Division
Technical Format:
PDF
Mobile Compatibility:
Not specified at this time
Language:
English
Cost Involved:
No
Source Code Available:
Unknown
Accessibility Information Available:
Unknown
Creative Commons:
Unknown

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