Ewert-Krzemieniewski, Stanislaw (2003) On a class of Ricci-recurrent manifolds. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 19 (1). pp. 71-82. ISSN 0866-0174
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Abstract
Properties of Ricci-recurrent manifolds with some conditions imposed on the Weyl conformal curvature tensor are investigated. The main theorem states: a conformally quasi-recurrent and Ricci-recurrent but not Ricci-parallel manifold of dimension n>4 with nowhere vanishing Weyl conformal curvature tensor and Ricci tensor which is non-conformally related to a conformally symmetric one must be necessary Ricci-generalized pseudosymmetric manifold.
| Item Type: | Article |
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| Uncontrolled Keywords: | Ricci-recurrent, Ricci-flat, conformally quasi-recurrent, conformally related, pseudosymmetry, Ricci-generalized pseudosymmetric |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 30 Jan 2024 08:40 |
| Last Modified: | 30 Jan 2024 08:40 |
| URI: | http://real.mtak.hu/id/eprint/186671 |
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