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On One Connexion Between Levi-Civita Parallelism and Einstein's Teleparallelism

Published online by Cambridge University Press:  20 January 2009

R. N. Sen
R. N. Sen
Affiliation:
University of Dacca.
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In a recent paper Einstein has proposed a new type of geometry in which it is possible to give an arbitrary vector in the field a displacement which conserves parallelism at a distance. It may be briefly stated as follows:

Let the metric ofthe space, supposed to be of n dimensions, be given by

At each point of the space we consider a set of n unit vectors, denoted by the n2 quantities phq, which form an orthogonal ennuple such that

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 2 , Issue 4 , June 1931 , pp. 252 - 255
Copyright
Copyright © Edinburgh Mathematical Society 1931

References

page 252 note 1 Berl. Sitzungsber (1929), 2.Google Scholar

page 253 note 1 Zaycoff, R., Zs. für Phys., 53 (1929), 719.CrossRefGoogle Scholar

page 253 note 2 Suggested by Levi-Civita's paper on Einstein's Unified field theory, Berl. Sitzungsb. (1929), 137.Google Scholar

page 254 note 1 Absolute Differential Calculus (1927), 268.Google Scholar