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On One Connexion Between Levi-Civita Parallelism and Einstein's Teleparallelism
Published online by Cambridge University Press: 20 January 2009
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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
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- 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
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