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Invariant manifolds
1970
Bulletin of the American Mathematical Society
Communicated by Stephen Smale, April 29, 1970 0. Introduction. Let M be a finite dimensional Riemann manifold without boundary. Kupka [5], Sacker [9], and others have studied perturbations of a flow or diffeomorphism of M leaving invariant a compact submanifold. Anosov [2] considers perturbations of a nonsingular flow, which of course leaves invariant each leaf of the foliation by trajectories. In both problems there is an assumption of hyperbolicity in planes normal to the submanifold, or
doi:10.1090/s0002-9904-1970-12537-x
fatcat:cpynaxikczb7bpgyr7rcgzkh2q