Faculty of Mathematics University "Al. I. Cuza" Iasi, 700506
Abstract
Given a pair (semispray $S$, metric $g$) on a tangent bundle, the family of nonlinear connections $N$ such that $g$ is recurrent with respect to $(S, N)$ with a fixed recurrent factor is determined by using the Obata tensors. In particular, we obtain a characterization for a pair $(N, g)$ to be recurrent as well as for the triple $(S, stackrel{c}{N}, g)$ where $stackrel{c}{N}$ is the canonical nonlinear connection of the semispray $S$. Also, the Weyl connection of conformal gauge theories is obtained as a particular case.
Crasmareanu, M. (2011). Recurrent metrics in the geometry of second order differential equations. Bulletin of the Iranian Mathematical Society, 38(2), 391–401.
MLA
Crasmareanu, M. "Recurrent metrics in the geometry of second order differential equations", Bulletin of the Iranian Mathematical Society, 38, 2, 2011, 391–401.
HARVARD
Crasmareanu, M. (2011). 'Recurrent metrics in the geometry of second order differential equations', Bulletin of the Iranian Mathematical Society, 38(2), pp. 391–401.
CHICAGO
Crasmareanu, M., "Recurrent metrics in the geometry of second order differential equations." Bulletin of the Iranian Mathematical Society, 38 2 (2011): 391–401,
VANCOUVER
Crasmareanu M. Recurrent metrics in the geometry of second order differential equations. BIMS. 2011;38(2):391–401.
