Relativity 7b  differential geometry II
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Description
The ideas Gauss developed to described the geometry of a curved twodimensional surface is generalized to abstract N dimensional spaces. This is the most math intensive video in the series so far. This is unavoidable as we are introducing the fundamental mathematical objects that allowed Einstein to give his ideas of curved spacetime precise form. Only the broad strokes are shown here. The following appendix videos fill some of the details.
Relativity 7b1  slope and curvature http://youtu.be/FqOH42zc9Es Relativity 7b2  metric tensor details http://youtu.be/kdYzAFs4Mt0 Relativity 7b3  Cristoffel symbols and the geodesic equation http://youtu.be/hmq7HuWXTM8 Relativity 7b4  Riemann and Ricci tensors http://youtu.be/sBDGPIuJHA
Relativity playlist: http://www.youtube.com/playlist?list=PLF56602BAC693237E
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current  18:56, December 2, 2016  13:50  480 × 269 (12 KB)  Drakenkaul (wall  contribs)  created video 