On a conformally invariant functional of the space of Riemannian metrics

Osamu KOBAYASHI

doi:10.2969/jmsj/03730373

Osamu KOBAYASHI

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JOURNAL FREE ACCESS

1985 Volume 37 Issue 3 Pages 373-389

DOI https://doi.org/10.2969/jmsj/03730373

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Published: 1985 Received: April 26, 1984 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: CITATION Details: Wrong : 1) A. Avez, Characteristic classes and Weyl tensor, Proc. Nat. Acad. Sci. U. S. A., 66 (1970), 265-268.
2) R. Bach, Zur Weylschen Relativitätstheorie und der Weylschen Erweiterung des Krümmungstensorbegriffs, Math. Z., 9 (1921), 110-135.
3) M. Berger and D. Ebin, Some decompositions of the space of symmetric tensors on a Riemannian manifold, J. Diff. Geom., 3 (1969), 379-392.
4) N. Hitchin, Compact four-dimensional Einstein manifolds, J. Diff. Geom., 9 (1974), 435-441.
5) S. Kobayashi and K. Nomizu, Foundations of differential geometry, Vol. 2, Interscience, 1969.
6) N. H. Kuiper, On compact conformally Euclidean spaces of dimension >2, Ann. of Math., 52 (1950), 478-490.
7) I. M. Singer and J. A. Thorpe, The curvature of 4-dimensional Einstein spaces, Global Analysis, Papers in Honor of K. Kodaira, Princeton Univ. Press, 1969, 355-365.

Right : [1] A. Avez, Characteristic classes and Weyl tensor, Proc. Nat. Acad. Sci. U. S. A., 66 (1970), 265-268.
[2] R. Bach, Zur Weylschen Relativitätstheorie und der Weylschen Erweiterung des Krümmungstensorbegriffs, Math. Z., 9 (1921), 110-135.
[3] M. Berger and D. Ebin, Some decompositions of the space of symmetric tensors on a Riemannian manifold, J. Diff. Geom., 3 (1969), 379-392.
[4] N. Hitchin, Compact four-dimensional Einstein manifolds, J. Diff. Geom., 9 (1974), 435-441.
[5] S. Kobayashi and K. Nomizu, Foundations of differential geometry, Vol. 2, Interscience, 1969.
[6] N. H. Kuiper, On compact conformally Euclidean spaces of dimension >2, Ann. of Math., 52 (1950), 478-490.
[7] I. M. Singer and J. A. Thorpe, The curvature of 4-dimensional Einstein spaces, Global Analysis, Papers in Honor of K. Kodaira, Princeton Univ. Press, 1969, 355-365.

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

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