On Connections Of Cartan
- 1 January 1956
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 8, 145-156
- https://doi.org/10.4153/cjm-1956-018-8
Abstract
Introduction. Consider a differentiable manifold M and the tangent bundle T(M) over M, the structure group of which is usually the general linear group G'. Let P' be the principal fibre bundle associated with T(M). Consider the fibre F of T(M) as an affine space, then we have acting on F the affine transformation group G, which contains G' as the isotropic subgroup.Keywords
This publication has 4 references indexed in Scilit:
- Espaces à Connexions Affines et Riemanniennes SymétriquesNagoya Mathematical Journal, 1955
- Invariant Affine Connections on Homogeneous SpacesAmerican Journal of Mathematics, 1954
- Espaces à connexion de cartan completsProceedings of the Japan Academy, Series A, Mathematical Sciences, 1954
- A theorem on holonomyTransactions of the American Mathematical Society, 1953