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
M. Crasmareanu, "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.
