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Differentiable structures with zero entropy on simply connected 4-manifolds

Authors:	Gabriel P Paternain

Institution:	(1) Facultad de Ciencias, Centro de Matemática, Iguá 4225, 11400 Montevideo, Uruguay;(2) Present address: CIMAT, A.P. 402, 36000, Guanajuato. Gto., México

Abstract:	We show that a closed 4-dimensional simply connected topological manifoldM admits a differentiable structure with aC Riemannian metric whose geodesic flow has zero topological entropy if and only ifM is homeomorphic toS ⁴, ²,S ²×S ², $\mathbb{C}\mathbb{P}^2 \# \overline {\mathbb{C}\mathbb{P}} ^2$ or ²#².

Keywords:	Geodesic flow entropy periodic integrals
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