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Tensor Integrals

Published online by Cambridge University Press:  20 January 2009

William Fabian
William Fabian
Affiliation:
14 Grosvenor Avenue, Canonbury, London, N.5.
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A form of integration of tensors will be introduced here, which will preserve the character of a tensor when so integrated.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 10 , Issue 4 , June 1957 , pp. 145 - 151
Copyright
Copyright © Edinburgh Mathematical Society 1957

References

page 145 note 1 Eisenhart, , Non-Riemannian Geometry (1927), chapter I.Google Scholar

page 145 note 2 These intrinsic derivatives must not be confused wich ordinary differential coefficients. For definitions see Eisenhart, op. cit., chapter I. All quantities used in this paper are real.

page 146 note 1 Goursat, , Mathematical Analysis, translated by Hedrick, , vol. II (1916).Google Scholar

page 149 note 1 See my paper in Phil. Mag. (7), XX (1935), 781–789.Google Scholar

page 149 note 2 The gamma function Γ (m + c) is not to be confused with the Christoffel symbols.

page 149 note 3 These expansions correspond to the Taylor series for ordinary functions.