Classification of metrisable regular s-manifolds with integrable symmetry tensor field

Arthur J. LEDGER; R. Bruce PETTITT

doi:10.2969/jmsj/02840668

Arthur J. LEDGER, R. Bruce PETTITT

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JOURNAL FREE ACCESS

1976 Volume 28 Issue 4 Pages 668-675

DOI https://doi.org/10.2969/jmsj/02840668

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Published: 1976 Received: September 12, 1975 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Department of Pure Mathematics The University
2) Department of Mathematics University of Ottawa

Right :
1) Department of Pure Mathematics The University Liverpool
2) Department of Mathematics University of Ottawa

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) C. Chevalley, Theory of Lie Groups, Princeton University Press, 1946.
2) P. J. Graham and A. J. Ledger, s-regular manifolds, Differential Geometry in Honour of Kentaro Yano, Kinokuniya, Tokyo, 1972, 133-144.
3) S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, volume I, Interscience, New York, 1963.
4) A. J. Ledger and M. Obata, Affine and Riemannian s-manifolds, J. Differential Geometry, 2 (1968), 451-459.
5) A. J. Ledger and R. B. Pettitt, Compact quadratic s-manifolds, Comment. Math. Helv. Comment. Math. Helv., 51 (1976), 105-131.
6) K. Nomizu, Invariant affine connections on homogeneous spaces, Amer. J. Math., 76 (1954), 33-65.
7) N. Steenrod, The topology of fibre bundles, Princeton University Press, 1951.
8) J. A. Wolf, Spaces of constant curvature, McGraw-Hill, New York, 1967.
9) J. A. Wolf, Locally symmetric homogeneous spaces, Comment. Math. Helv., 37 (1962), 65-101.
10) J. A. Wolf and A. Gray, Homogeneous spaces defined by Lie group automorphisms, J. Differential Geometry, 2 (1968), 77-159.

Right : [1] C. Chevalley, Theory of Lie Groups, Princeton University Press, 1946.
[2] P. J. Graham and A. J. Ledger, s-regular manifolds, Differential Geometry in Honour of Kentaro Yano, Kinokuniya, Tokyo, 1972, 133-144.
[3] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, volume I, Interscience, New York, 1963.
[4] A. J. Ledger and M. Obata, Affine and Riemannian s-manifolds, J. Differential Geometry, 2 (1968), 451-459.
[5] A. J. Ledger and R. B. Pettitt, Compact quadratic s-manifolds, Comment. Math. Helv. Comment. Math. Helv., 51 (1976), 105-131.
[6] K. Nomizu, Invariant affine connections on homogeneous spaces, Amer. J. Math., 76 (1954), 33-65.
[7] N. Steenrod, The topology of fibre bundles, Princeton University Press, 1951.
[8] J. A. Wolf, Spaces of constant curvature, McGraw-Hill, New York, 1967.
[9] J. A. Wolf, Locally symmetric homogeneous spaces, Comment. Math. Helv., 37 (1962), 65-101.
[10] J. A. Wolf and A. Gray, Homogeneous spaces defined by Lie group automorphisms, J. Differential Geometry, 2 (1968), 77-159.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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