[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b210671

EINSTEIN-TYPE MANIFOLDS WITH COMPLETE DIVERGENCE OF WEYL AND RIEMANN TENSOR

Hwang, Seungsu (Department of Mathematics Chung-Ang University)
Yun, Gabjin (Department of Mathematics Myong Ji University)

Publication Information

Bulletin of the Korean Mathematical Society / v.59, no.5, 2022 , pp. 1167-1176 More about this Journal

Abstract

In this paper, we study Einstein-type manifolds generalizing static spaces and V-static spaces. We prove that if an Einstein-type manifold has non-positive complete divergence of its Weyl tensor and non-negative complete divergence of Bach tensor, then M has harmonic Weyl curvature. Also similar results on an Einstein-type manifold with complete divergence of Riemann tensor are proved.

Keywords

Einstein-type manifold; complete divergence; harmonic Weyl curvature;

Citations & Related Records

Reference

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