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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

On $ n$-dimensional Riemannian spaces admitting a group of motions of order $ n(n-1)/2+1$


Author: Kentaro Yano
Journal: Trans. Amer. Math. Soc. 74 (1953), 260-279
MSC: Primary 53.0X
MathSciNet review: 0052860
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  • [1] L. Bianchi, Lezioni di geometria differenziale, 3d ed., vol. II.
  • [2] É. Cartan, Leçons sur la Géométrie des Espaces de Riemann, Gauthier-Villars, Paris, 1946 (French). 2d ed. MR 0020842 (8,602g)
  • [3] I. P. Egorov, On a strengthening of Fubini’s theorem on the order of the group of motions of a Riemannian space, Doklady Akad. Nauk SSSR (N.S.) 66 (1949), 793–796 (Russian). MR 0031809 (11,211c)
  • [4] L. P. Eisenhart, Continuous groups of transformations, Princeton University Press, 1933.
  • [5] G. Fubini, Sugli spazii che ammettono un gruppo continuo di movimenti, Annali di Matematica (3) vol. 8 (1903) pp. 39-81.
  • [6] Deane Montgomery and Hans Samelson, Transformation groups of spheres, Ann. of Math. (2) 44 (1943), 454–470. MR 0008817 (5,60b)
  • [7] P. Rachevsky, Caractères tensoriels de l'espace sous-projectif, Abhandlungen des Seminars für Vektor- und Tensoranalysis. Moskou vol. 1 (1933) pp. 126-140.
  • [8] Hsien-Chung Wang, On Finsler spaces with completely integrable equations of Killing, J. London Math. Soc. 22 (1947), 5–9. MR 0022431 (9,206h)
  • [9] Kentaro Yano, Concircular geometry. II. Integrability conditions of 𝜌_{𝜇𝜈}=𝜑𝑔_{𝜇𝜈}, Proc. Imp. Acad. Tokyo 16 (1940), 354–360. MR 0003114 (2,165b)
  • [10] Kentaro Yano, Sur le parallélisme et la concourance dans l’espace de Riemann, Proc. Imp. Acad. Tokyo 19 (1943), 189–197 (French). MR 0014287 (7,264f)
  • [11] -, Groups of transformations in generalized spaces, Tokyo, 1949.
  • [12] Kentaro Yano and Tyuzi Adati, On certain spaces admitting concircular transformations, Proc. Japan Acad. 25 (1949), 188–195. MR 0052861 (14,688g)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1953-0052860-X
PII: S 0002-9947(1953)0052860-X
Article copyright: © Copyright 1953 American Mathematical Society