دورية أكاديمية
Complete Riemannian manifolds admitting a pair of Einstein-Weyl structures
| العنوان: | Complete Riemannian manifolds admitting a pair of Einstein-Weyl structures |
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| المؤلفون: | Amalendu Ghosh |
| المصدر: | Mathematica Bohemica, Vol 141, Iss 3, Pp 315-325 (2016) |
| بيانات النشر: | Institute of Mathematics of the Czech Academy of Science, 2016. |
| سنة النشر: | 2016 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | Weyl manifold, Einstein-Weyl structure, infinitesimal harmonic transformation, Mathematics, QA1-939 |
| الوصف: | We prove that a connected Riemannian manifold admitting a pair of non-trivial Einstein-Weyl structures $(g, \pmømega)$ with constant scalar curvature is either Einstein, or the dual field of $ømega$ is Killing. Next, let $(M^n, g)$ be a complete and connected Riemannian manifold of dimension at least $3$ admitting a pair of Einstein-Weyl structures $(g, \pmømega)$. Then the Einstein-Weyl vector field $E$ (dual to the $1$-form $ømega$) generates an infinitesimal harmonic transformation if and only if $E$ is Killing. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 0862-7959 2464-7136 |
| Relation: | http://mb.math.cas.cz/full/141/3/mb141_3_2.pdf; https://doaj.org/toc/0862-7959; https://doaj.org/toc/2464-7136 |
| DOI: | 10.21136/MB.2016.0072-14 |
| URL الوصول: | https://doaj.org/article/9add0ed8e3064ce8b16b6c2f8d87d33b |
| رقم الأكسشن: | edsdoj.9add0ed8e3064ce8b16b6c2f8d87d33b |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 08627959 24647136 |
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| DOI: | 10.21136/MB.2016.0072-14 |