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arxiv: 1302.1417 · v1 · pith:ZPCSUXPYnew · submitted 2013-02-06 · 🧮 math.DG

Three-dimensional conformally symmetric manifolds

classification 🧮 math.DG
keywords conformallymanifoldssymmetricthree-dimensionalclassesclassificationcompleteexamined
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The non-existence of non-trivial conformally symmetric manifolds in the three-dimensional Riemannian setting is shown. In Lorentzian signature, a complete local classification is obtained. Furthermore, the isometry classes are examined.

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