Weyl流形切束上的Sasaki度规

Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI:10.2298/PIM1817025B

C. Bejan, İlhan Gül

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引用次数: 3

摘要

设(M， [g])是维数M > 2的Weyl流形。利用由G诱导的Sasaki度量G，我们在T M上构造了一个Weyl结构。然后我们证明除非(M, g)是平的，否则它永远不是爱因斯坦-魏尔方程。这里的主要定理是由Musso和Tricerri的结果扩展到Weyl的上下文。

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Sasaki metric on the tangent bundle of a Weyl manifold

Let (M, [g]) be a Weyl manifold of dimension m > 2. By using the Sasaki metric G induced by g, we construct a Weyl structure on T M . Then we prove that it is never Einstein–Weyl unless (M, g) is flat. The main theorem here extends to the Weyl context a result of Musso and Tricerri.

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Publications De L'institut Mathematique

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