[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2002.39.2.193

R-CRITICAL WEYL STRUCTURES

Kim, Jong-Su (Department of Mathematics, Sogang University)

Publication Information

Journal of the Korean Mathematical Society / v.39, no.2, 2002 , pp. 193-203 More about this Journal

Abstract

Weyl structure can be viewed as generalizations of Riemannian metrics. We study Weyl structures which are critical points of the squared L $^2$ norm functional of the full curvature tensor, defined on the space of Weyl structures on a compact 4-manifold. We find some relationship between these critical Weyl structures and the critical Riemannian metrics. Then in a search for homogeneous critical structures we study left-invariant metrics on some solv-manifolds and prove that they are not critical.

Keywords

critical Weyl structure; Einstein-Weyl structure, quadraic geometric functional; solv-manifold;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)
Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

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