Conformal connections and conformal transformations
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- by Noboru Tanaka PDF
- Trans. Amer. Math. Soc. 92 (1959), 168-190 Request permission
References
-
E. Cartan, Les espaces à connexion conforme, Ann. Soc. Polon. Math. vol. 2 (1923) pp. 171-221.
- Charles Ehresmann, Les connexions infinitésimales dans un espace fibré différentiable, Colloque de topologie (espaces fibrés), Bruxelles, 1950, Georges Thone, Liège; Masson & Cie, Paris, 1951, pp. 29–55 (French). MR 0042768
- Shigeo Sasaki, Kyôkei setsuzoku kikagaku, Kawade-shobô, Tokyo, 1948 (Japanese). MR 0038713
- Shigeo Sasaki, On the spaces with normal conformal connexions whose groups of holonomy fix a point or a hypersphere. I, Jpn. J. Math. 18 (1943), 615–622. MR 14768, DOI 10.4099/jjm1924.18.0_{6}15
- Noboru Tanaka, Projective connections and projective transformations, Nagoya Math. J. 12 (1957), 1–24. MR 105154
- Katsumi Nomizu, Lie groups and differential geometry, Mathematical Society of Japan, Tokyo, 1956. MR 0084166 K. Yano, Sur la theorie des espaces à connexion conforme, J. Fac. Sci. Imp. Univ. Tôkyo. Sect. 1, vol. 4 (1939) pp. 1-59.
- Kentaro Yano and Shigeo Sasaki, Sur les espaces à connexion conforme normale dont les groupes d’holonomie fixent une sphère à un nombre quelconque de dimensions. I, Proc. Imp. Acad. Tokyo 20 (1944), 525–535 (French). MR 14772
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 92 (1959), 168-190
- MSC: Primary 53.72; Secondary 53.50
- DOI: https://doi.org/10.1090/S0002-9947-1959-0124011-X
- MathSciNet review: 0124011