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Minimal number of periodic points for C1 self-maps of compact simply-connected manifolds
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Grzegorz Graff
Veröffentlicht/Copyright:
12. März 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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Artikel in diesem Heft
- On the classification of infinite-dimensional irreducible Hermitian-symmetric affine coadjoint orbits
- A partial generalization of the Helgason Conjecture to general bounded homogeneous domains
- Antisymmetric elements in group rings with an orientation morphism
- Gradient estimates for the eigenfunctions on compact manifolds with boundary and Hörmander Multiplier Theorem
- On loops rich in automorphisms that are abelian modulo the nucleus
- Minimal number of periodic points for C1 self-maps of compact simply-connected manifolds
- On a question of Bombieri and Bourgain
- Separate real analyticity and CR extendibility
- Coverings of Banach spaces: beyond the Corson theorem
- Genus 2 curves that admit a degree 5 map to an elliptic curve
