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Incompressibility of Tori Transverse to Axiom a Flows
C. A. Morales
Proceedings of the American Mathematical Society
Vol. 136, No. 12 (Dec., 2008), pp. 4349-4354
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/20535682
Page Count: 6
You can always find the topics here!Topics: Vector fields, Axioms, Periodic orbits, Mathematical manifolds, Mathematical transitivity, Mathematical theorems, Dynamical systems, Incompressibility, Systems theory
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We prove that a torus transverse to an Axiom A vector field that does not exhibit sinks, sources or null homotopic periodic orbits on a closed irreducible 3-manifold is incompressible. This strengthens the works of Brunella (1993), Fenley (1995), and Mosher (1992).
Proceedings of the American Mathematical Society © 2008 American Mathematical Society