Curvature and critical Riemannian metric

Yosio MUTO

doi:10.2969/jmsj/02640686

Yosio MUTO

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JOURNAL FREE ACCESS

1974 Volume 26 Issue 4 Pages 686-697

DOI https://doi.org/10.2969/jmsj/02640686

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Published: 1974 Received: June 18, 1973 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) M. Berger, Quelques formules des variation pour une structure riemannienne, Ann. sci. École Norm. Sup., 4^e série, 3 (1970), 285-294.
2) M. Berger and D. Ebin, Some decompositions of the space of symmetric tensors on a Riemannian manifold, J. Differential Geometry, 3 (1969), 379-392.
3) M. Berger, P. Gauduchon and E. Mazet, Le spectre d'une variété riemannienne, Springer, 1971.
4) D. Ebin, The manifolds of Riemannian metrics, Proceedings of 1968 AMS Summer Institute on Global Analysis.
5) A. Lichnerowicz, Géométrie des groupes de transformations, Dunod, 1958.
6) Y. Muto, On Einstein metrics, J. Differential Geometry, to appear.
7) M. Obata, Certain conditions for a Riemannian manifold to be isometric with a sphere, J. Math. Soc. Japan, 14 (1962), 333-340.

Right : [1] M. Berger, Quelques formules des variation pour une structure riemannienne, Ann. sci. École Norm. Sup., 4^e série, 3 (1970), 285-294.
[2] M. Berger and D. Ebin, Some decompositions of the space of symmetric tensors on a Riemannian manifold, J. Differential Geometry, 3 (1969), 379-392.
[3] M. Berger, P. Gauduchon and E. Mazet, Le spectre d'une variété riemannienne, Springer, 1971.
[4] D. Ebin, The manifolds of Riemannian metrics, Proceedings of 1968 AMS Summer Institute on Global Analysis.
[5] A. Lichnerowicz, Géométrie des groupes de transformations, Dunod, 1958.
[6] Y. Muto, On Einstein metrics, J. Differential Geometry, to appear.
[7] M. Obata, Certain conditions for a Riemannian manifold to be isometric with a sphere, J. Math. Soc. Japan, 14 (1962), 333-340.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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