Abstract
We study in its homological class the periodic structure of the $\mathcal{C}^{1}$ self$-$maps on the manifolds $\mathbb{S}^{n}$ (the $n-$dimensional sphere), $\mathbb{S}^{n}\times \mathbb{S}^{m}$ (the product space of the $n-$dimensional with the $m-$dimensional spheres), $\mathbb{C}$P$^{n}$ (the $n-$dimensional complex projective space) and $\mathbb{H}$P$^{n}$ (the $n-$dimensional quaternion projective space), having all their periodic orbits hyperbolic.
Citation
Juan Luis García Guirao. Jaume Llibre. "$\mathcal{C}^{1}$ SELF-MAPS ON $\mathbb{S}^{n}$, $\mathbb{S}^{n}\times \mathbb{S}^{m}$, $\mathbb{C}$P$^{n}$ AND $\mathbb{H}$P$^{n}$ WITH ALL THEIR PERIODIC ORBITS HYPERBOLIC." Taiwanese J. Math. 16 (1) 323 - 334, 2012. https://doi.org/10.11650/twjm/1500406543
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