Article Contents
Article Contents

# Periodic points of latitudinal maps of the $m$-dimensional sphere

• Let $f$ be a smooth self-map of the $m$-dimensional sphere $S^m$. Under the assumption that $f$ preserves latitudinal foliations with the fibres $S^1$, we estimate from below the number of fixed points of the iterates of $f$. The paper generalizes the results obtained by Pugh and Shub and by Misiurewicz.
Mathematics Subject Classification: Primary: 37C25, 37E30, 55M20.

 Citation:

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