KCI등재
학술저널
Einstein warped product manifolds with 3−dimensional fiber manifolds
Einstein warped product manifolds with 3−dimensional fiber manifolds
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 35, No. 3
- : KCI등재
- 2022.08
- 235 - 242 (8 pages)
DOI : 10.14403/jcms.2022.35.3.235
In this paper, we consider the existence of nonconstant warping functions on a warped product manifold M = B ×f 2 F , where B is a q(> 2)−dimensional base manifold with a nonconstant scalar curvature SB (x) and F is a 3− dimensional fiber Einstein manifold and discuss that the resulting warped product manifold is an Einstein manifold, using the existence of the solution of some partial differential equation.
1. Introduction
2. Main results
References