Orbits of certain endomorphisms of nilmanifolds and Hausdorff dimension
Differential Geometry
2007-05-23 v1
Abstract
We prove that for certain endomorphisms of a nilmanifold N the set S of those points such that the closure of its (forward) orbit contains no periodic points is large in the sense that for any non-empty open set U, the set U\cap S is of full Hausdorff dimension. When the manifold N is a torus, this result is due to S.G.Dani.
Cite
@article{arxiv.math/0212118,
title = {Orbits of certain endomorphisms of nilmanifolds and Hausdorff dimension},
author = {C. S. Aravida and Parameswaran Sankaran},
journal= {arXiv preprint arXiv:math/0212118},
year = {2007}
}
Comments
11 pages