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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 1, Pages 68–78
(Mi jsfu347)
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Extremal curves in the conformal space and in an associated bundle
Leonid N. Krivonosov, Vyacheslav A. Luk'yanov, Lubov V. Voloskova Nizhny Novgorod State Technical University, Zavolzhsky branch,
Pavlovskogo, 1a, Zavolzhye, Nizhegorodskaya region, 606520, Russia
Abstract:
Time-like and null extremal curves are computed in the conformal space for bundles with fibers $P_5$ and $P_5\wedge P_5$.
Keywords:
manifold with conformal connection, conformal space, Euler-Lagrange equation, extremal curves, elliptic Weierstrass function.
Received: 10.05.2013 Received in revised form: 10.09.2013 Accepted: 20.10.2013
Citation:
Leonid N. Krivonosov, Vyacheslav A. Luk'yanov, Lubov V. Voloskova, “Extremal curves in the conformal space and in an associated bundle”, J. Sib. Fed. Univ. Math. Phys., 7:1 (2014), 68–78
Linking options:
https://www.mathnet.ru/eng/jsfu347 https://www.mathnet.ru/eng/jsfu/v7/i1/p68
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| Statistics & downloads: |
| Abstract page: | 364 | | Full-text PDF : | 102 | | References: | 67 |
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