Note on the Group of Affine Transformations of an Affinely Connected Manifold
- 1 February 1955
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 8, 71-81
- https://doi.org/10.1017/s0027763000023187
Abstract
The purpose of the present note is to reform Mr. K. Nomizu’s result on the group of all affine transformations of an affinely connected manifold. We shall prove the following. THEOREM. The group of all affine transformations of an affinely connected manifold is a Lie group.Keywords
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- Über metrisch homogene räumeAbhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 1928