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Published online by Cambridge University Press: 20 January 2009
Let υλ be a vector (i.e. a vector field) in an affinely connected space Ln, ∇k the symbol of covariant differentiation, and r the rank of the matrix ‖∇k υλ‖ then there exist two sets of n − r independent vectors 
and 
which satisfy respectively the equations
page 172 note 1 Eisenhart, , Non. Riemannian Geometry (New York, 1927), 38–43.Google Scholar
page 173 note 1 Bocher, , Introduction to Higher Algebra (New York, 1907), 43–46.Google Scholar
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