訂正日: 2006/10/20訂正理由: -訂正箇所: 引用文献情報訂正内容: Wrong : 1) T. Aubin, The scalar curvature: Differential Geometry and Relativity, ed. M. Cahen and M. Flato, Reidel, 1976, pp. 5-18. 2) J. P. Bourguignon and J. P. Ezin, Scalar curvature functions in a conformal class of metric and conformal transformations, Trans. Am. Math. Soc., 301 (1987), 723-736. 3) W. Chen, Scalar curvatures on Sn, Math. Ann., 283 (1989), 353-365. 4) J. F. Escobar and R. M. Schoen, Conformal metrics with prescribed scalar curvature, Invent. Math., 86 (1986), 243-254. 5) J. L. Kazdan and F. W. Warner, Scalar curvature and conformal deformation of Riemannian structure, J. Differential Geom., 10 (1975), 113-134. 6) O. Kobayashi, On large scalar curvature, Research Report, Keio Univ., 1985 (unpublished). 7) P. L. Lions, The concentration-compactness principle in the calculus of variations, the limit case, part. 2, Rev. Mat. Ibero., 1 (1985), 45-121. 8) J.M. Lee and T.H. Parker, The Yamabe problem, Bull. Amer. Math. Soc, 17 (1987), 37-91. 9) R. S. Palais, The principle of symmetric criticality, Comm. Math. Phys., 69 (1979), 19-30. 10) R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, J. Differential Geom., 20 (1984), 479-495. 11) R. M. Schoen, Variational theory for the total scalar curvature functional for Riemannian metrics and related topics, Topics in Calculus of Variations, ed. M. Giaquinta, Lecture Notes in Math., 1365, Springer, 1989, pp. 120-154. 12) R. Schoen and S. T. Yau, On the proof of the positive mass conjecture in general relativity, Comm. Math. Phys., 65 (1979), 45-76. 13) R. Schoen and S. T. Yau, Conformally flat manifolds, Kleinian groups and scalar curvature, Invent. Math., 92 (1988), 47-71. 14) M. Spivak, A comprehensive introduction to differential geometry, 4, Publish or Perish, Inc., Berkeley, 1979. 15) N. S. Trudinger, Remarks concerning the conformal deformation of Riemannian structures on compact manifolds, Ann. Scuola Norm. Sup. Pisa, 22 (1968), 265-274. 16) M. Vaugon, Transformation conforme de la courbure scalaire, Analyse non lineaire, Ann. Inst. Henri Poincare, 3 (1986), 55-65. 17) H. Yamabe, On a deformation of Riemannian structures on compact manifolds, Osaka Math. J., 12 (1960), 21-37.
Right : [1] T. Aubin, The scalar curvature: Differential Geometry and Relativity, ed. M. Cahen and M. Flato, Reidel, 1976, pp. 5-18. [2] J. P. Bourguignon and J. P. Ezin, Scalar curvature functions in a conformal class of metric and conformal transformations, Trans. Am. Math. Soc., 301 (1987), 723-736. [3] W. Chen, Scalar curvatures on Sn, Math. Ann., 283 (1989), 353-365. [4] J. F. Escobar and R. M. Schoen, Conformal metrics with prescribed scalar curvature, Invent. Math., 86 (1986), 243-254. [5] J. L. Kazdan and F. W. Warner, Scalar curvature and conformal deformation of Riemannian structure, J. Differential Geom., 10 (1975), 113-134. [6] O. Kobayashi, On large scalar curvature, Research Report, Keio Univ., 1985 (unpublished). [7] P. L. Lions, The concentration-compactness principle in the calculus of variations, the limit case, part. 2, Rev. Mat. Ibero., 1 (1985), 45-121. [8] J. M. Lee and T. H. Parker, The Yamabe problem, Bull. Amer. Math. Soc, 17 (1987), 37-91. [9] R. S. Palais, The principle of symmetric criticality, Comm. Math. Phys., 69 (1979), 19-30. [10] R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, J. Differential Geom., 20 (1984), 479-495. [11] R. M. Schoen, Variational theory for the total scalar curvature functional for Riemannian metrics and related topics, Topics in Calculus of Variations, ed. M. Giaquinta, Lecture Notes in Math., 1365, Springer, 1989, pp. 120-154. [12] R. Schoen and S. T. Yau, On the proof of the positive mass conjecture in general relativity, Comm. Math. Phys., 65 (1979), 45-76. [13] R. Schoen and S. T. Yau, Conformally flat manifolds, Kleinian groups and scalar curvature, Invent. Math., 92 (1988), 47-71. [14] M. Spivak, A comprehensive introduction to differential geometry, 4, Publish or Perish, Inc., Berkeley, 1979. [15] N. S. Trudinger, Remarks concerning the conformal deformation of Riemannian structures on compact manifolds, Ann. Scuola Norm. Sup. Pisa, 22 (1968), 265-274. [16] M. Vaugon, Transformation conforme de la courbure scalaire, Analyse non lineaire, Ann. Inst. Henri Poincare, 3 (1986), 55-65. [17] H. Yamabe, On a deformation of Riemannian structures on compact manifolds, Osaka Math. J., 12 (1960), 21-37.