Complete Riemannian manifolds admitting a pair of Einstein-Weyl structures
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 leas...
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2016-10-01
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| Series: | Mathematica Bohemica |
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| Online Access: | http://mb.math.cas.cz/full/141/3/mb141_3_2.pdf |