Riemannian manifolds with a semi-symmetric metric connection satisfying some semisymmetry conditions
| Autor: | Cengizhan Murathan, Yusuf Dogru, Cihan Özgür |
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| Přispěvatelé: | Fen Edebiyat Fakültesi |
| Jazyk: | angličtina |
| Rok vydání: | 2008 |
| Předmět: |
Levi-Civita Connection
Pure mathematics Quasi-Einstein Manifold Conformally Flat Manifold Mathematical analysis General Engineering Field (mathematics) Conformally flat manifold Curvature Levi-Civita connection Connection (mathematics) symbols.namesake Unit vector symbols Vector field Mathematics::Differential Geometry Semi-Symmetric Metric Connection Metric connection Mathematics |
| Popis: | Özgür, Cihan (Balikesir Author) We study Riemannian manifolds M admitting a semi-symmetric metric connection ($) over tilde such that the vector field U is a parallel unit vector field with respect to the Levi-Civita connection del. We prove that ($) over tilde .R = 0 if and only if M is semisymmetric; if ($) over tilde .R = 0 or R.($) over tilde - ($) over tilde .R = 0 or M is semisymmetric and ($) over tilde.($) over tilde = 0, then M is conformally flat and quasi-Einstein. Here R and ($) over tilde denote the curvature tensors of del and ($) over tilde, respectively. |
| Databáze: | OpenAIRE |
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