Differentiable structures with zero entropy on simply connected 4-manifolds |
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Authors: | Gabriel P Paternain |
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Institution: | (1) Facultad de Ciencias, Centro de Matemática, Iguá 4225, 11400 Montevideo, Uruguay;(2) Present address: CIMAT, A.P. 402, 36000, Guanajuato. Gto., México |
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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,
or 2#2. |
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Keywords: | Geodesic flow entropy periodic integrals |
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