참고문헌
- A. L. Besse, Einstein Manifolds, Springer-Verlag, New York, 1987
- J. P. Bourguignon, Une stratification de l'espace des structures riemanniennes, Compositio Math. 30 (1975), 1-41
- A. E. Fischer and J. E. Marsden, Manifolds of Riemannian metrics with prescribed scalar curvature, Bull. Amer. Math. Soc. 80 (1974), 479-484 https://doi.org/10.1090/S0002-9904-1974-13457-9
- S. Hwang, Critical points of the total scalar curvature functionals on the space of metrics of constant scalar curvature, Manuscripta Math. 103 (2000), no. 2, 135-142 https://doi.org/10.1007/PL00005857
- S. Hwang , The critical point equation on a three dimensional compact manifold, Proc. Amer. Math. Soc. 131 (2003), no. 10, 3221-3230
- S. Hwang and J. W. Chang, Critical points and warped product metrics, Bull. Korean Math. Soc. 41 (2004), no. 1, 117-123 https://doi.org/10.4134/BKMS.2004.41.1.117
- J. L. Kazdan and F. W. Warner, Curvature functions for open 2-manifolds, Ann. Math. (2) 99 (1974), 203-219 https://doi.org/10.2307/1970898
- J. Lafontaine, Remarques sur les varietes conformement plates, Math. Ann. 259 (1982), no. 3, 313-319 https://doi.org/10.1007/BF01456943
- J. Lafontaine, Sur la geometrie dune generalisation de lequation differentielle d'Obata, J. Math. Pures Appl. 62 (1983), no. 1, 63-72
- M. Obata, Certain conditions for a Riemannian manifold to be isometric with a sphere, J. Math. Soc. Japan 14 (1962), no. 3, 333-340 https://doi.org/10.2969/jmsj/01430333
- B. ONeill, Semi-Riemannian Geometry, Academic Press, 1983
피인용 문헌
- CRITICAL POINT METRICS OF THE TOTAL SCALAR CURVATURE vol.49, pp.3, 2012, https://doi.org/10.4134/BKMS.2012.49.3.655