in this paper we will determine the multiple point manifolds of certain self-transverse immersions in euclidean spaces. following the triple points, these immersions have a double point self-intersection set which is the image of an immersion of a smooth 5-dimensional manifold, cobordant to dold manifold $v^5$ or a boundary. we will show there is an immersion of $s^7times p^2$ in $mathbb{r}^{13...

To achieve better precision in describing contaminant dispersion in channels some authors resort to dividing a channel into two zones, fast and slow, leading to a pair of coupled evolution equations for cross-sectionally-averaged concentrations in the zones. We construct a two-zone model whose accuracy is guaranteed by centre manifold theory. The model leads to evolution equations that differ f...

We study the blow-up behaviour of two reaction-diiusion problems with a quasilinear degenerate diiusion and a superlinear reaction. We show that in each case the blow-up is self-similar, in contrast to the linear diiusion limit of each in which the diiusion is only approximately self-similar. We then investigate the limit of the self-similar behaviour and describe the transition from a stable m...

The dynamics of an N = 4 spinning particle in a curved background is described using the N = 4 superfield formalism. The SU(2)local×SU(2)global N = 4 superconformal symmetry of the particle action requires the background to be a real “Kähler–like” manifold whose metric is generated by a sigma–model superpotential. The anti–de–Sitter spaces are shown to belong to this class of manifolds. e-mail:...

in the first part of this paper, some theorems are given for a riemannian manifold with semi-symmetric metric connection. in the second part of it, some special vector fields, for example, torse-forming vector fields, recurrent vector fields and concurrent vector fields are examined in this manifold. we obtain some properties of this manifold having the vectors mentioned above.

The dynamics of an N = 4 spinning particle in a curved background is described using the N = 4 superfield formalism. The SU(2)local×SU(2)global N = 4 superconformal symmetry of the particle action requires the background to be a real “Kähler–like” manifold whose metric is generated by a sigma–model superpotential. The anti–de–Sitter spaces are shown to belong to this class of manifolds. e-mail:...

This paper focuses on the dynamics near the collinear equilibrium points L 1;2;3 of the spatial Restricted Three Body Problem. It is well known that the linear behaviour of these three points is of the type centercentersaddle. To obtain an accurate description of the dynamics in an extended neighbourhood of those points, two diierent (but complementary) strategies are used. First, the Hamiltoni...