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Arnold diffusion in arbitrary degrees of freedom and crumpled 3-dimensional normally hyperbolic invariant cylinders
Arnold diffusion arbitrary degrees of freedom crumpled 3-dimensional hyperbolic invariant cylinders
2015/9/25
Arnold diffusion in arbitrary degrees of freedom and crumpled 3-dimensional normally hyperbolic invariant cylinders.
Given a homotopy equivalence f between two topological spaces we obtain an explicit formula for a strong deformation retraction of the mapping cylinder of f onto its top.
Motion by Volume Preserving Mean Curvature Flow Near Cylinders
Motion by Volume Mean Curvature Flow Cylinders Analysis of PDEs
2012/5/24
Center manifold analysis can be used in order to investigate the stability of the stationary solutions of various PDEs. This can be done by considering the PDE as an ODE between certain Banach spaces ...
On the flatness of Riemannian cylinders without conjugate points
flatness of Riemannian cylinders conjugate points
2011/1/17
What are appropriate geometric conditions ensuring that every complete Riemannian 2-cylinder without conjugate points is at?Examples with nonpositive curvature show that one has to assume that the end...
This paper is withdrawn by the authors.
Nonuniformizable skew cylinders. A counterexample to the simultaneous uniformization problem
Nonuniformizable skew cylinders counterexample
2010/10/29
At the end of 1960-ths Yu.S.Ilyashenko stated the problem: is it true that for any one-dimensional holomorphic foliation with singularities on a Stein manifold leaves intersecting a transversal disc ...