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., 2014, Volume 7, Issue 1,Pages <nobr>68

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.

UDC: 514.84

Received: 10.05.2013
Received in revised form: 10.09.2013
Accepted: 20.10.2013

Language: English