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The minimal entropy problem for 3-manifolds with zero simplicial volume | | James W. Anderson
; Gabriel P. Paternain
; | | Date: |
21 Nov 2000 | | Subject: | Dynamical Systems; Differential Geometry; Geometric Topology MSC-class: 53D25, 37D40 | math.DS math.DG math.GT | | Abstract: | We 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 $S^3$, $S^2 imes R$, $E^3$, or Nil. | | Source: | arXiv, math.DS/0011153 | | Services: | Forum | Review | PDF | Favorites | |
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