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[tex]

\nabla _{\vec{p}} \vec{p} = (\nabla_a \vec{p} ) p^a

=< (\nabla_a p^0 ) p^a, (\nabla_a p^1 ) p^a , (\nabla_a p^2 ) p^a, (\nabla_a p^3 ) p^a >

[/tex]

(where the a's are summed from 0 to 3)

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# Directional covariant derivative

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