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An estimate for the volume entropy of nonpositively curved graph manifolds

Differential Geometry 2009-06-04 v1

Abstract

Let M be a closed 3-dimensional graph manifold. We prove that h(g)>1 for each geometrization g of M, where h(g) is the topological entropy of geodesic flow of g.

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Cite

@article{arxiv.math/0202160,
  title  = {An estimate for the volume entropy of nonpositively curved graph manifolds},
  author = {Sergei Buyalo},
  journal= {arXiv preprint arXiv:math/0202160},
  year   = {2009}
}

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9 pages