- #1
arpon
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In Euclidean space, we may define covariant basis by the partial derivative of position vector with respect to each coordinates, i.e.
##∂R/(∂z^i )=z_i##
But in curved space (such as, the two dimensional space on a sphere) how can we define covariant basis 'intrinsicly'?(as we have no position vector in curved space intrinsicly)
##∂R/(∂z^i )=z_i##
But in curved space (such as, the two dimensional space on a sphere) how can we define covariant basis 'intrinsicly'?(as we have no position vector in curved space intrinsicly)
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