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Licensed Unlicensed Requires Authentication Published by De Gruyter March 12, 2009

Minimal number of periodic points for C1 self-maps of compact simply-connected manifolds

Grzegorz Graff and Jerzy Jezierski
From the journal

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