Three-dimensional paracontact Walker structures (Q2910082)
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scientific article; zbMATH DE number 6079012
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three-dimensional paracontact Walker structures |
scientific article; zbMATH DE number 6079012 |
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7 September 2012
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Three-dimensional paracontact Walker structures (English)
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In this paper, some interesting paracontact metric properties are studied for the paracontact Walker structures introduced by \textit{E. García-Río} et al. [On the local geometry of three-dimensional Walker metrics. Aachen: Shaker Verlag, 77--87 (2008; Zbl 1161.53353)]. Moreover, improving his result on locally symmetric Walker three-manifolds [the author, Boll. Unione Mat. Ital. (9) 5, No. 2, 387--403 (2012; Zbl 1264.53036)], the author proves that homogeneity conditions give some obstructions to the existence of compatible paracontact structures on a Walker three-manifold.
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