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| Gerard Westendorp... |
 Posted: Wed Oct 21, 2009 7:46 pm |
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Guest
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In 2 dimensions, the intrinsic curvature (the curvature that beings that
live on the manifold actually notice) is just the angular deficit per
unit area. The angular deficit it the small wedge of paper that you have
to cut away (or add in case of negative curvature) around each point.
So in 2D, intrinsic curvature has a nice intuitive interpretation. In
higher dimensions, it becomes more complicated.
But (1+1)D, (1 space plus 1 time) has the same total number of
dimensions as 2D. So is there an analog for intrinsic curvature in
(1+1)D?
Gerard |
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