Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-23T23:42:54.778Z Has data issue: false hasContentIssue false
  • English
  • Français

Projective Connections and Projective Transformations

Published online by Cambridge University Press:  22 January 2016

Noboru Tanaka
Noboru Tanaka*
Affiliation:
Mathematical Institute, Nagoya University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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