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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.

Information

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