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On a compact oriented n-dimensional manifold (Mn ;g), it has been conjectured that a metricg satisfying the criticalpoint equation (2) should be Einstein. In this paper, we prove thatif a manifold (M4;g) is a 4-dimensional oriented compact warpedproduct, then g can not be a solution of CPE with a non-zerosolution function f.
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참고문헌 (8)
참고문헌 신청
/ / Certain conditions for a Riemannian manifold to be isometric with a
/ 1974 / Curvature functions for open2 manifolds : 219 ~
/ 1974 / Manifolds of Riemannian metrics with pre-scribed scalar curvature 80 : 479 ~ 484
/ 1975 / Une stratication de l'espace des structures riemanniennes 30 : 1 ~ 41
/ 1987. / Einstein Manifolds
/ 1974 / Curvature functions for open2 manifolds : 219 ~
/ 1974 / Manifolds of Riemannian metrics with pre-scribed scalar curvature 80 : 479 ~ 484
/ 1975 / Une stratication de l'espace des structures riemanniennes 30 : 1 ~ 41
/ 1987. / Einstein Manifolds
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