4. Consider Euclidean space in D = 2. Show by direct computation that the Riemann curvature tensor, R = - - νρ με μσ -гvoro νσ μες vanishes in: a) Cartesian coordinates, such that ds² == 1 dx² + dy².

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4. Consider Euclidean space in D = 2. Show by direct computation that the Riemann curvature
tensor,
R
=
-
-
νρ
με
μσ
-гvoro
νσ μες
vanishes in:
a)
Cartesian coordinates, such that ds²
==
1
dx² + dy².
Transcribed Image Text:4. Consider Euclidean space in D = 2. Show by direct computation that the Riemann curvature tensor, R = - - νρ με μσ -гvoro νσ μες vanishes in: a) Cartesian coordinates, such that ds² == 1 dx² + dy².
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