A remark on 4-manifolds with zero entropy metrics

J. A. Hillman


We sharpen a recent result of Paternain and Petean by showing that a 4-manifold which admits a Riemannian metric with zero topological entropy either has a finite covering space homeomorphic to S3×{S1} or S2×{T} or is aspherical.

Keywords: entropy, 4-manifold, infranilmanifold, subexponential.

AMS Subject Classification: Primary 53D25; secondary 37B40.

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Wednesday, August 10, 2005