Acknowledgement
This work was supported by Chosun University Research Fund 2019.
References
- T. Aubin, Nonlinear analysis on manifolds, Springer-Verlag, New York, 1982.
- A. L. Besse, Einstein manifolds, Springer-Verlag, New York, 1987.
- J. K. Beem and P. E. Ehrlich, Global Lorentzian geometry, Pure and Applied Mathematics, 67 Dekker, New York, 1981.
- J. K. Beem, P. E. Ehrlich and K.L. Easley, Global Lorentzian Geometry (2nd ed.), Marcel Dekker, Inc., New York, 1996.
- J. K. Beem, P. E. Ehrlich and Th.G. Powell, Warped product manifolds in relativity, Selected Studies (Th.M.Rassias, eds.), North-Holland, 1982, 41-56.
- Y. T. Jung, Einstein warped product manifolds with p(> 3)- dimensional fiber manifolds, submitted
- Y. T. Jung, S. Y. Lee, and E. H. Choi, Ricci curvature of conformal deformation on compact 2-manifolds, Commun. Pure Appl. Anal., 19, (2020), no. 6, 3223-3231. https://doi.org/10.3934/cpaa.2020140
- J. L. Kazdan, Some applications of partial differential equations to problems in geometry, 1983.
- D. S. Kim, Einstein warped product spaces, Honam Mathematical J., 22 (2000), no.1, 7-111.
- D. S. Kim, Compact Einstein warped product spaces, Trends in Mathematics Information center for Mathematical Sciences. 5 (2002), no. 2, December, 1-5.
- D. S. Kim and Y. H. Kim, Compact Einstein warped product spaces with nonpositive scalar curvature, Proc. Amer. Math. Soc., 131 (2003), no.8, 2573-2576. https://doi.org/10.1090/S0002-9939-03-06878-3
- B. O'Neill, Semi-Riemannian Geometry, Academic, New York, 1983.