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Consider Euclidean space in D = 2. Show by direct computation that the Riemann curvature tensor,

vanishes in: rest on image

4. Consider Euclidean space in D = 2. Show by direct computation that the Riemann curvature
tensor,
vanishes in:
RA
pμv = μ¹vp - ₂² up + r²
ρμν
μρ
О,ГА, + ΓλμσΓσνρ - ΓλυσΓσ
00
a) Cartesian coordinates, such that ds² = dx² + dy².
b) polar coordinates, such that ds² = dr² + r²d0². You can use the fact that the only
non-vanishing Christoffel symbols are
=
-r,
го
ro
=
Го
μρη
Or

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