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Minimal number of periodic points for C1 self-maps of compact simply-connected manifolds
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Grzegorz Graff
Published/Copyright:
March 12, 2009
Abstract
Let ƒ be a self-map of a smooth compact connected and simply-connected manifold of dimension m ≥ 3, r a fixed natural number. In this paper we define a topological invariant 
which is the best lower bound for the number of r-periodic points for all C1 maps homotopic to ƒ. In case m = 3 we give the formula for 
and calculate it for self-maps of S2 × I.
Received: 2007-07-20
Revised: 2007-12-04
Accepted: 2007-12-10
Published Online: 2009-03-12
Published in Print: 2009-May
© de Gruyter 2009
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Articles in the same Issue
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- A partial generalization of the Helgason Conjecture to general bounded homogeneous domains
- Antisymmetric elements in group rings with an orientation morphism
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- On loops rich in automorphisms that are abelian modulo the nucleus
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- On a question of Bombieri and Bourgain
- Separate real analyticity and CR extendibility
- Coverings of Banach spaces: beyond the Corson theorem
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