On Weyl and Lyra Manifolds
- 1 July 1972
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 13 (7) , 990-993
- https://doi.org/10.1063/1.1666099
Abstract
It is shown that Weyl's geometry and an apparently similar geometry suggested by Lyra are special cases of manifolds with more general connections. The difference between the two geometries and their relationship with Riemannian geometry are clarified by giving a global formulation of Lyra's geometry. Finally the outline of a field theory based on the latter geometry is given.Keywords
This publication has 4 references indexed in Scilit:
- Weyl manifoldsJournal of Differential Geometry, 1970
- On Geodesics of a Modified Riemannian ManifoldCanadian Mathematical Bulletin, 1960
- ber einen verallgemeinerten affinen ZusammenhangMathematische Zeitschrift, 1952
- ber eine Modifikation der Riemannschen GeometrieMathematische Zeitschrift, 1951