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Projective Connections and Projective Transformations

Published online by Cambridge University Press:  22 January 2016

Noboru Tanaka
Noboru Tanaka*
Affiliation:
Mathematical Institute, Nagoya University
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The main purpose of the present paper is to establish a theorem concerning the relation between the group of all projective transformations on an affinely connected manifold and the group of all affine transformations.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 12 , December 1957 , pp. 1 - 24
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1957

References

[1] Cartan, E., Leçons sur la théorie des espaces à connexion projective, Paris (1937).Google Scholar
[2] Chevalley, C., Theory of Lie groups I, Princeton, 1946.Google Scholar
[3] Ehresmann, C., Les connexions infinitésimales dans un espace fibré différentiate, Colloque de Topologie, Bruxelles (1950), 29–55.Google Scholar
[4] Kobayashi, S., Groupe de transformations qui laissent invariante une connexion infinitésimale, Comptes rendus, 238 (1954), pp. 644–645.Google Scholar
[5] Nomizu, K., Lie groups and Differential Geometry, No. 2, Publications Math. Soc. Japan, 1956.Google Scholar