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On Connections Of Cartan

Published online by Cambridge University Press:  20 November 2018

Shôshichi Kobayashi
Shôshichi Kobayashi*
Affiliation:
University of Washington, Seattle
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 8 , 1956 , pp. 145 - 156
Copyright
Copyright © Canadian Mathematical Society 1956

References

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