International Journal of Mathematics Trends and Technology
Volume 65 | Issue 8 | Year 2019 | Article Id. IJMTT-V65I8P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I8P512
his paper aimed at investigating the dynamical systems on manifolds, which is Riemannian dynamics 1-foliation L on 3-manifolds M[Carri`ere 17]. we explain that every point of a manifold M is a recurrence point and the w - limit sets are diffeomorphic to M. The structure of the attractor is also presented [15,10]. The map named after Hinri Poincare` on a transversal surface for a Riemannian 1-dimentional foliation is used as an isometry such that the nonhyperbolicity of (M,L) is showed. our argument work for any dimension of a manifolds M.
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Dr. Safa Ahmed Babikir Alsid, "Riemannian Dynamics on Manifolds," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 8, pp. 112-117, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I8P512
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