The critical point equation on a four dimensional warped product manifold

초록

On a compact oriented n-dimensional manifold (Mn, g), it has been conjectured that a metric g satisfying the critical point equation (2) should be Einstein. In this paper, we prove that if a manifold (M4, g) is a 4-dimensional oriented compact warped product, then g can not be a solution of CPE with a non-zero solution function f.

키워드