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Fundamentalnaya i Prikladnaya Matematika, 2010, Volume 16, Issue 1, Pages 55–63
(Mi fpm1290)
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This article is cited in 3 scientific papers (total in 3 papers)
A category-theoretic approach extending the notion of connection in a natural way, and its application to the geometry of differential systems
L. E. Evtushika, O. M. Omelyanb a M. V. Lomonosov Moscow State University
b Immanuel Kant State University of Russia
Abstract:
We give the widest geometrical generalization of the notion of connection in fiber spaces that allows one to adequately construct the geometry of ordinary differential systems of any order. In this area, there is a theory of nonlinear stable connections developed by the first author. Here we apply it to fourth-order systems.
Citation:
L. E. Evtushik, O. M. Omelyan, “A category-theoretic approach extending the notion of connection in a natural way, and its application to the geometry of differential systems”, Fundam. Prikl. Mat., 16:1 (2010), 55–63; J. Math. Sci., 177:4 (2011), 551–557
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https://www.mathnet.ru/eng/fpm1290 https://www.mathnet.ru/eng/fpm/v16/i1/p55
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Abstract page: | 311 | Full-text PDF : | 145 | References: | 45 | First page: | 2 |
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