Metrics of Homogeneous Spaces Admitting (3.1)-Type Complete Sets |
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| Authors: | Obukhov V V Osetrin K E Filippov A E |
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| Institution: | (1) Tomsk State Pedagogical University, Russia |
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| Abstract: | A classification has been obtained for spaces which admit complete sets of motion integrals of the (3.1)-type and are spatially homogeneous. The metrics and Killing vectors have been found in explicit form for all types of these spaces. A classification by Bianchi is given for the spaces obtained. |
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