A differential equation arising from scalar curvature function

Osamu KOBAYASHI

doi:10.2969/jmsj/03440665

Osamu KOBAYASHI

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JOURNAL FREE ACCESS

1982 Volume 34 Issue 4 Pages 665-675

DOI https://doi.org/10.2969/jmsj/03440665

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Published: 1982 Received: May 15, 1981 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) J.-P. Bourguignon, Une stratification de l'espace des structures riemanniennes, Compositio Math., 30 (1975), 1-41.
2) N. Ejiri, A negative answer to a conjecture of conformal transformations of Riemannian manifolds, J. Math. Soc. Japan, 33 (1981), 261-266.
3) A. E. Fischer and J. E. Marsden, Linearization stability of nonlinear partial differential equations, Proc. Symp. Pure Math., 27 (1975), 219-262.
4) O. Kobayashi and M. Obata, Conformally-flatness and static space-time, Manifolds and Lie groups, Progress in Mathematics, 14, Birkhäuser, 1981, 197-206.
5) M. Obata, Certain conditions for a riemannian manifold to be isometric with a sphere, J. Math. Soc. Japan, 14 (1962), 333-340.

Right : [1] J. -P. Bourguignon, Une stratification de l'espace des structures riemanniennes, Compositio Math., 30 (1975), 1-41.
[2] N. Ejiri, A negative answer to a conjecture of conformal transformations of Riemannian manifolds, J. Math. Soc. Japan, 33 (1981), 261-266.
[3] A. E. Fischer and J. E. Marsden, Linearization stability of nonlinear partial differential equations, Proc. Symp. Pure Math., 27 (1975), 219-262.
[4] O. Kobayashi and M. Obata, Conformally-flatness and static space-time, Manifolds and Lie groups, Progress in Mathematics, 14, Birkhäuser, 1981, 197-206.
[5] 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: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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