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Resumen de Periodic Structure of Transversal Maps on CPn, HPn and Sp × Sq

Juan Luis García Guirao Árbol académico, Jaume Llibre Árbol académico

  • A C1 map f : M → M is called transversal if for all m ∈ N the graph of f m intersects transversally the diagonal of M × M at each point (x, x) being x a fixed point of f m. Let CPn be the n-dimensional complex projective space, HPn be the n-dimensional quaternion projective space and Sp ×Sq be the product space of the p-dimensional with the q-dimensional spheres, p = q. Then for the cases M equal to CPn, HPn and Sp × Sq we study the set of periods of f by using the Lefschetz numbers for periodic points.

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