The minimal entropy problem for 3-manifolds with zero simplicial volume

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dc.creatorAnderson, James W.
dc.creatorPaternain, Gabriel P.
dc.date2000-11-21
dc.date.accessioned2026-07-07T04:38:43Z
dc.date.available2026-07-07T04:38:43Z
dc.descriptionWe consider the minimal entropy problem, namely the question of whether there exists a smooth metric of minimal entropy, for certain classes of 3-manifolds. Among other resulsts, we show that if M is a closed, orientable, geometrizable 3-manifold with zero simplicial volume, then the minimal entropy can be solved for M if and only if M admits a metric modelled on 4 of the 8 standard 3-dimensional geometries, namely $S^3$, $S^2\times R$, $E^3$, or Nil.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0011153
dc.identifierhttp://arxiv.org/abs/math/0011153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60389
dc.subjectDynamical Systems
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subject53D25, 37D40
dc.titleThe minimal entropy problem for 3-manifolds with zero simplicial volume
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