diffeomorphism, 3-manifold, Lambda f
In 1969, Hirsch posed the following problem: given a diffeomorphism f:N → N and a compact invariant hyperbolic set Λ of f, describe the topology of Λ and the dynamics of f restricted to Λ. We solve the problem where Λ=M^3 is a closed 3-manifold: if M^3 is orientable, then it is a connected sum of tori and handles; otherwise it is a connected sum of tori and handles quotiented by involutions.
Original Publication Citation
Fisher, T., Rodriguez Hertz, M., Quasi-Anosov diffeomorphisms of 3-manifolds, Trans. Amer. Math. Soc. 361 (29), 377-372.
BYU ScholarsArchive Citation
Fisher, Todd L. and Rodriguez, Hertz M., "Quasi-Anosov diffeomorphisms of 3-manifolds" (2009). Faculty Publications. 144.
The American Mathematical Society
Physical and Mathematical Sciences
© 2009 American Mathematical Society
Copyright Use Information