- We Consider A Manifold M Whose Line Element In The Coordinates X X U V Y Is Given By Ds Dudu Y2 2 1 (13.87 KiB) Viewed 23 times
We consider a manifold M whose line element in the coordinates (x,...,x) (u, v, y, ) is given by ds? = -dudu + (y2 + 2?)
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We consider a manifold M whose line element in the coordinates (x,...,x) (u, v, y, ) is given by ds? = -dudu + (y2 + 2?)
We consider a manifold M whose line element in the coordinates (x,...,x) (u, v, y, ) is given by ds? = -dudu + (y2 + 2?)du? + dy? + dz?. (1) Consider a curve 7 which is parameterized in the new coordinate system as follows t=0, x= , y = cos , *= cos X. 0<x<1. Compute the length of the curvey.
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