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arXiv · 1802.00106

Geometry of extended Bianchi-Cartan-Vranceanu spaces

Angel Ferrández·Antonio M. Naveira·Ana D. Tarrío
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Abstract

The differential geometry of $3$-dimensional Bianchi, Cartan and Vranceanu ($BCV$) spaces is well known. We introduce the extended Bianchi, Cartan and Vranceanu ($EBCV$) spaces as a natural seven dimensional generalization of $BCV$ spaces and study some of their main geometric properties, such as the Levi-Civita connection, Ricci curvatures, Killing fields and geodesics.

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Angel Ferrández, Antonio M. Naveira, Ana D. Tarrío. 2018-01-31. Geometry of extended Bianchi-Cartan-Vranceanu spaces. https://arxiv.org/abs/1802.00106

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