Expansive measures for flows |
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Authors: | D Carrasco-Olivera CA Morales |
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Institution: | 1. Departamento de Matemática, Universidad del Bío, Bío Av. Collao # 1202, Casilla 5-C, VIII-Región, Concepción, Chile;2. Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970 Rio de Janeiro, Brazil |
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Abstract: | We extend the concept of expansive measure 2] from homeomorphism to flows. We prove for continuous flows on compact spaces that every expansive measure has no singularities in the support, is aperiodic, is expansive with respect to time-T maps (but not conversely), remains expansive under topological equivalence, vanishes along the orbits and is natural under suspensions. We apply these properties to prove that there are no expansive flows (in the sense of 26]) of any closed surface. |
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Keywords: | 54H20 34C35 |
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