Timeline for Equivalent definitions of Gaussian curvature
Current License: CC BY-SA 2.5
9 events
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Mar 22, 2012 at 16:57 | comment | added | roy smith | Gauss apparently defined curvature, as repeated by Riemann in his paper translated in Spivak, as (the angle sum minus 2π)/area for an infinitesimal triangle centered at the point. This occurs in a nice article about Descartes' anticipation of Euler's theorem: ams.org/samplings/feature-column/fcarc-descartes6 Another nice elementary discussion is in chapter 7 of Experiencing Geometry, 2nd edition, by David Henderson. see also: post #29, my paragraph on parallel transport: physicsforums.com/showthread.php?t=578235&page=2 | |
Apr 27, 2010 at 13:10 | vote | accept | Lea M | ||
Apr 24, 2010 at 18:45 | comment | added | Lea M | Thanks so much for all of your suggestions-I'll definitely check out the books you all recommended. Thanks again for your help! | |
Apr 24, 2010 at 15:22 | answer | added | Deane Yang | timeline score: 4 | |
Apr 24, 2010 at 6:35 | answer | added | Benoît Kloeckner | timeline score: 3 | |
Apr 24, 2010 at 6:17 | history | edited | Cam McLeman |
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Apr 24, 2010 at 6:11 | answer | added | Andrey Rekalo | timeline score: 5 | |
Apr 24, 2010 at 6:07 | answer | added | Cam McLeman | timeline score: 2 | |
Apr 24, 2010 at 5:40 | history | asked | Lea M | CC BY-SA 2.5 |