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Solutions of Euler-Lagrange equations for self-interacting field of linear frames on product manifold of group space |
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| Authors: | Piotr Godlewski |
| Institution: | Faculty of Mathematics and Information Sciences, Warsaw University of Technology, Plac Politechniki 1, 00-661 Warszawa, Poland |
| Abstract: | We investigate a model of self-interacting field of linear frames on the product manifold M × G, where G is a semisimple Lie group acting freely and transitively on a manifold M. We find two families of solutions of the Euler-Lagrange equations for the field of frames. |
| Keywords: | Field of linear frames teleparallelism connection Euler-Lagrange equations Lie transformation group adjoint representation of Lie group |
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