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http://dx.doi.org/10.4134/JKMS.2003.40.1.129

ON SEMI-RIEMANNIAN MANIFOLDS SATISFYING THE SECOND BIANCHI IDENTITY  

Kwon, Jung-Hwan (Department of Mathematics Education Taegu University)
Pyo, Yong-Soo (Division of Mathematical Sciences Pukyung National University)
Suh, Young-Jin (Department of Mathematics Kyungpook National University)
Publication Information
Journal of the Korean Mathematical Society / v.40, no.1, 2003 , pp. 129-167 More about this Journal
Abstract
In this paper we introduce new notions of Ricci-like tensor and many kind of curvature-like tensors such that concircular, projective, or conformal curvature-like tensors defined on semi-Riemannian manifolds. Moreover, we give some geometric conditions which are equivalent to the Codazzi tensor, the Weyl tensor, or the second Bianchi identity concerned with such kind of curvature-like tensors respectively and also give a generalization of Weyl's Theorem given in [18] and [19].
Keywords
semi-Riemannian manifold; projective curvature tensor; conformal curvature tensor; Weyl tensor; harmonic Weyl tensor; curvature-like tensor; curvature-like form; closed; coclosed;
Citations & Related Records

Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
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