Abstract
We consider a system of matrix differential equations whose nondegenerate solutions are O(n, p, R)-equivalent, where O(n, p, R) is the pseudo-orthogonal group of invertible linear transformations of \(R^n\). We show that the class of first columns of the set of matrices that are nondegenerate solutions of this system coincides with the class of O(n, p, R)-equivalent paths in \(R^n\).
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Chilin, V.I., Muminov, K.K. (2018). Matrix Differential Equations for Pseudo-orthogonal Groups. In: Ibragimov, Z., Levenberg, N., Rozikov, U., Sadullaev, A. (eds) Algebra, Complex Analysis, and Pluripotential Theory. USUZCAMP 2017. Springer Proceedings in Mathematics & Statistics, vol 264. Springer, Cham. https://doi.org/10.1007/978-3-030-01144-4_7
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DOI: https://doi.org/10.1007/978-3-030-01144-4_7
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