Orbits of certain endomorphisms of nilmanifolds and Hausdorff dimension

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dc.creatorAravida, C. S.
dc.creatorSankaran, Parameswaran
dc.date2002-12-09
dc.date.accessioned2026-07-07T04:53:38Z
dc.date.available2026-07-07T04:53:38Z
dc.descriptionWe 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.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0212118
dc.identifierhttp://arxiv.org/abs/math/0212118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65926
dc.subjectDifferential Geometry
dc.subject53C22, 58F17
dc.titleOrbits of certain endomorphisms of nilmanifolds and Hausdorff dimension
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