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On Geodesics of a Modified Riemannian Manifold

Published online by Cambridge University Press:  20 November 2018

D. K. Sen
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In Riemannian geometry the autoparallels associated with the affine connexion coincide with the geodesies which arise from the metric. This is not the case in a modification of Riemannian geometry suggested by Lyra. A sufficient condition that the two classes of curves coincide is obtained.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 3 , Issue 3 , 01 September 1960 , pp. 255 - 261
Copyright
Copyright © Canadian Mathematical Society 1960

References

1. Lyra, G., öber eine Modifikation der riemannschen Geometrie, Math. Z. 54 (1951), 52-64.Google Scholar
2. Scheibe, E., öber einen Verallgemeinerten affinen Zusammenhang, Math. Z. 57 (1952), 65-74.Google Scholar
3. Weyl, H., Gravitation und Elektrizität, S. -B. Preuss. Akad. Wiss, Berlin (1918), 465-480.Google Scholar
4. Schroedinger, E., Space-Time Structure (Cambridge, 1954), p. 27.Google Scholar