[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2006.43.4.679

THE CRITICAL POINT EQUATION ON A FOUR DIMENSIONAL WARPED PRODUCT MANIFOLD

Hwang, Seung-Su (DEPARTMENT OF MATHEMATICS, CHUNG-ANG UNIVERSITY)
Chang, Jeong-Wook (DEPARTMENT OF MATHEMATICS, SCHOOL OF MATHEMATICS INFORMATICS AND STATISTICS, KUNSAN NATIONAL UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.43, no.4, 2006 , pp. 679-692 More about this Journal

Abstract

On a compact oriented n-dimensional manifold $(M^n,\;g)$ , 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 $(M^4,\;g)$ is a 4-dimensional oriented compact warped product, then g can not be a solution of CPE with a non-zero solution function f.

Keywords

critical point equation; warped product; Einstein metric;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)
Times Cited By SCOPUS : 1

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