Minimal Number of Periodic Points for Smooth Self-maps of S
نویسندگان
چکیده
Let f be a continuous self-map of a smooth compact connected and simply-connected manifold of dimension m ≥ 3, r a fixed natural number. A topological invariant Dm r [f ], introduced in [5], is equal to the minimal number of r-periodic points for all smooth maps homotopic to f . In this paper we calculate D3 r [f ] for all self-maps of S3.
منابع مشابه
Minimal number of periodic points for C self-maps of compact simply-connected manifolds
Let f be a self-map of a smooth compact connected and simplyconnected manifold of dimension m ≥ 3, r a fixed natural number. In this paper we define a topological invariant Dm r [f ] which is the best lower bound for the number of r-periodic points for all C1 maps homotopic to f . In case m = 3 we give the formula for D3 r [f ] and calculate it for self-maps of S2 × I. 2000 Mathematics Subject ...
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