Affine transformations in an almost complex manifold with a natural affine connection

Morio OBATA

doi:10.2969/jmsj/00840345

Morio OBATA

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1956 Volume 8 Issue 4 Pages 345-362

DOI https://doi.org/10.2969/jmsj/00840345

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Published: 1956 Received: April 12, 1956 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Mono OBATA¹⁾
Right : Morio OBATA¹⁾

Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Right : [1] M. Abe, Irreduzibilität und absolute Irreduzibilität des Matrizensystemes, Proc. Phys. Math. Soc. Japan, 24 (1942), 769-789.
[2] A. Frölicher, Zur Differentialgeometrie der komplexen Strukturen, Math. Ann., 129 (1955), 50-95.
[3] J. Hano and A. Morimoto, Note on the group of affine transformations of an affinely connected manifold, Nagoya Math. J., 8 (1955), 85-95
[4] A. Lichnerowicz, Espaces homogénes kählériennes, Coll. Int. de Géom. Diff. Strasbourg, (1953), 171-184.
[5] A. Lichnerowicz, Sur les groupes d'automorphismes de certaines variétés kähleriennes, C. R. Acad. Sci. Paris, 239 (1954) 1344-1346.
[6] K. Nomizu, On the group of affine transformations of an affinely connected manifold, Proc. Amer. Math. Soc., 4 (1953), 816-823.
[7] K. Nomizu, Invariant affine connections on homogeneous spaces, Amer. J. Math., 76 (1954), 33-65.
[8] M. Obata, On subgroups of the orthogonal group, to appear.
[9] S. Sasaki and K. Yano, Pseudo-analytic vectors on pseudo-Kählerian manifolds, Pacific. J. Math., 5 (1955), 987-993.
[10] J. A. Schouten and K. Yano, On pseudo-Kählerian spaces admitting a continuous group of motions, Proc. Kon. Ned. Acad. Amst., 58 (Ind. Math, 17) (1955), 565-570.
[11] H. Weyl, The classical groups, Princeton, (1946).
[12] K. Yano, Groups of transformations in generalized spaces, Tokyo (1949).
[13] K. Yano and I. Mogi, On real representations of Kaehlerian manifolds, Ann. of Math., 61 (1955), 170-189.

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