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On two linear vector spaces associated with a vector in an Ln

Published online by Cambridge University Press:  20 January 2009

Yung-Chow Wong
Affiliation:
King's College, London.
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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 nr independent vectors and which satisfy respectively the equations

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1940

References

page 172 note 1 Eisenhart, , Non. Riemannian Geometry (New York, 1927), 3843.Google Scholar

page 173 note 1 Bocher, , Introduction to Higher Algebra (New York, 1907), 4346.Google Scholar