[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j160524

ALMOST EINSTEIN MANIFOLDS WITH CIRCULANT STRUCTURES

Dokuzova, Iva (Department of Algebra and Geometry University of Plovdiv "Paisii Hilendarski")

Publication Information

Journal of the Korean Mathematical Society / v.54, no.5, 2017 , pp. 1441-1456 More about this Journal

Abstract

We consider a 3-dimensional Riemannian manifold M with a circulant metric g and a circulant structure q satisfying $q^3=id$ . The structure q is compatible with g such that an isometry is induced in any tangent space of M. We introduce three classes of such manifolds. Two of them are determined by special properties of the curvature tensor. The third class is composed by manifolds whose structure q is parallel with respect to the Levi-Civita connection of g. We obtain some curvature properties of these manifolds (M, g, q) and give some explicit examples of such manifolds.

Keywords

Riemannian metric; circulant matrix; almost Einstein manifold; Ricci curvature;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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