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A. G. D. Watson's principal directions for a Riemannian V4

Published online by Cambridge University Press:  20 January 2009

H. S. Ruse
Affiliation:
University College, Southampton.
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A. G. D. Watson (1939-41), remarking that there are no Ricci principal directions ata world-point of space-time at which the Einstein equations are satisfied, shows how to define at any world-point a set of principal directions intrinsically related to the Riemann tensor Rijkl itself. These directions are unique except when the space-time has any kind of rotational symmetry about the world-point.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1946

References

REFERENCES

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