Use the absolute derivative dadudadufrom to a dxdu to
Use the absolute derivative DA?/Du=dA?/du??(from ?? to ?)A? dx^?/du to prove that the inner (scalar) product of two vectors is preserved under parallel transport on a path if the connection defined on the manifold is a metric connection.
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use the absolute derivative dadudadufrom to a dxdu to prove that the inner scalar product of two vectors is preserved
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