Timeline for The origin of the name "connection" in differential geometry
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jun 15, 2015 at 22:25 | comment | added | Conifold | @Javier Good point, I tightened up the language. Riemann does not give an interpretation in terms of change of direction under transport around a loop. He talks about "surface-direction" (what we would call a plane in tangent space) and prolonging all geodesics originally tangent to it, which creates a surface. This surface has total curvature, and he refers to Gauss's interpretation of it in terms of spherical excess, or area excess for infinitesimal triangles. cs.jhu.edu/~misha/ReadingSeminar/Papers/Riemann54.pdf | |
| Jun 15, 2015 at 22:14 | history | edited | Conifold | CC BY-SA 3.0 |
added 31 characters in body
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| Jun 15, 2015 at 7:31 | comment | added | hjhjhj57 | When you say "[...] gave a geometric interpretation of the Riemann curvature," do you mean that Riemann didn't have a geometric motivation for defining the Riemann curvature tensor? | |
| Jun 8, 2015 at 9:46 | vote | accept | Golbez | ||
| Jun 7, 2015 at 20:51 | history | answered | Conifold | CC BY-SA 3.0 |